3895538925600 has 324 divisors, whose sum is σ = 15979362993594. Its totient is φ = 890408816640.

The previous prime is 3895538925589. The next prime is 3895538925613. The reversal of 3895538925600 is 65298355983.

3895538925600 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 538 + 92 + 5 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3275911762704 + 619627162896 = 1809948^2 + 787164^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5168089 + ... + 5873688.

Almost surely, 2^{3895538925600} is an apocalyptic number.

3895538925600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3895538925600 is an abundant number, since it is smaller than the sum of its proper divisors (12083824067994).

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

3895538925600 is a wasteful number, since it uses less digits than its factorization.

3895538925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11041817 (or 11041794 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 3895538925600 in words is "three trillion, eight hundred ninety-five billion, five hundred thirty-eight million, nine hundred twenty-five thousand, six hundred".