3,600
3600 is the number of seconds in an hour — 60 minutes of 60 seconds each, or 60².
Where 3,600 fits
Why 3,600 is special
3600 is the clearest surviving trace of Babylonian base-60 counting in everyday life: it is simply 60 squared, which is why an hour of seconds is a perfect square while an hour of minutes is not. Its 45 divisors make it exceptionally easy to split, and it is the conversion factor that turns any per-second rate into a per-hour one.
Same number, different meanings
How 3,600 is understood across different contexts — never implying one meaning because of another.
- Mathematics
3600 is the clearest surviving trace of Babylonian base-60 counting in everyday life: it is simply 60 squared, which is why an hour of seconds is a perfect square while an hour of minutes is not. Its 45 divisors make it exceptionally easy to split, and it is the conversion factor that turns any per-second rate into a per-hour one.
- Everyday life
There are 3600 seconds in an hour, from 60 minutes of 60 seconds each. It is the conversion factor that turns any per-second rate into a per-hour one.
- History
3600 is 60², which makes it the most direct surviving arithmetic trace of Babylonian base-60 counting in everyday life: the hour is divided twice by 60, so an hour measured in seconds is exactly the square of the base.
Not just a mathematical number
3,600is also used in ways where ordinary arithmetic doesn't apply — each listed below with what genuinely does and doesn't follow from it.
- Mathematical number
A genuine quantity — its mathematical properties (prime, square, factors, and so on) are real facts about it.
A genuine quantity that ordinary arithmetic applies to — it can be prime, even, a perfect square, added to another number meaningfully, and so on.
- Measurement
Also used as a measurement — Minutes and seconds.
A quantity expressed against a defined unit or standard (24 hours in a day, 60 seconds in a minute) — arithmetic is meaningful, but the specific value is a fixed convention of the measuring system, not a discovered mathematical property.
3,600 is part of
Factors & digit properties
- Divisors (45)
- 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600
- Prime factorisation
- 2^4 × 3^2 × 5^2
- Digit sum
- 9
- Digital root
- 9
Representations
- Decimal
- 3600
- Binary
- 111000010000
- Octal
- 7020
- Hexadecimal
- e10
- Roman numeral
- MMMDC
- Scientific notation
- 3.600 × 10^3
Other mathematical patterns
- Abundant number
- Powerful number
- Harshad (Niven) number
Related numbers & connections
86,400 is 24 × 3600 — the day in seconds, built from the seconds-per-hour figure.
View 86400 →3600 is 60², so the seconds-per-hour figure is the sexagesimal base squared — the most direct arithmetic inheritance from Babylonian counting in daily use.
Mathematically related
Other connections
- developed fromBabylonian sexagesimal (base-60) system
why?
Strength 0.50, confidence "high".
- is associated withMinutes and seconds
why?
Strength 0.50, confidence "high".
- is associated withTime unit conversions
why?
Strength 0.50, confidence "high".
Everyday life
There are 3600 seconds in an hour, from 60 minutes of 60 seconds each. It is the conversion factor that turns any per-second rate into a per-hour one.
DocumentedEveryday life
History
3600 is 60², which makes it the most direct surviving arithmetic trace of Babylonian base-60 counting in everyday life: the hour is divided twice by 60, so an hour measured in seconds is exactly the square of the base.
DocumentedHistory
Mathematics
3600 is a perfect square (60² = 3600) and factors as 2⁴ × 3² × 5², giving it 45 divisors — an unusually high count that follows from squaring an already highly composite base.
DocumentedMathematics
Common questions
Is 3,600 a prime number?
No, 3,600 is not prime.
What are the factors of 3,600?
The factors of 3,600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.
What is 3,600 in Roman numerals?
3,600 in Roman numerals is MMMDC.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 3 August 2026