3645655609600 has 243 divisors, whose sum is σ = 9356823477183. Its totient is φ = 1406266552320.

The previous prime is 3645655609549. The next prime is 3645655609663. The reversal of 3645655609600 is 69065565463.

The square root of 3645655609600 is 1909360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 50111508736 + 3595544100864 = 223856^2 + 1896192^2 .

It is a super-2 number, since 2×3645655609600² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4429714789 + ... + 4429715611.

Almost surely, 2^{3645655609600} is an apocalyptic number.

3645655609600 is the 1909360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645655609600

3645655609600 is an abundant number, since it is smaller than the sum of its proper divisors (5711167867583).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3645655609600 is an frugal number, since it uses more digits than its factorization.

3645655609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 55.

The spelling of 3645655609600 in words is "three trillion, six hundred forty-five billion, six hundred fifty-five million, six hundred nine thousand, six hundred".