# 3600

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## Number

$3600$ (three thousand, six hundred) is:

$2^4 \times 3^2 \times 5^2$

The $60$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $2304$, $2401$, $2500$, $2601$, $2704$, $2809$, $2916$, $3025$, $3136$, $3249$, $3364$, $3481$:
$3600 = 60 \times 60$

The $49$th positive integer which cannot be expressed as the sum of a square and a prime:
$1$, $10$, $25$, $34$, $58$, $64$, $85$, $\ldots$, $2209$, $2304$, $2500$, $2809$, $2986$, $3136$, $3364$, $3481$, $3600$, $\ldots$

### Arithmetic Functions on $3600$

 $\displaystyle \map \tau { 3600 }$ $=$ $\displaystyle 45$ $\tau$ of $3600$

## Also see

No further terms of this sequence are documented on $\mathsf{Pr} \infty \mathsf{fWiki}$.

## Historical Note

There are $3600$ seconds of time in an hour.

There are $3600$ seconds of arc in an degree.

There are $3600$ minutes of arc in a $60$ degree angle.

These divisions date back to the time of the Babylonians, who used a $60$-based number system for their mathematics and astronomy.