38813504625 has 96 divisors (see below), whose sum is σ = 80756582400. Its totient is φ = 17567280000.

The previous prime is 38813504579. The next prime is 38813504633. The reversal of 38813504625 is 52640531883.

38813504625 is a `hidden beast` number, since 3 + 8 + 8 + 13 + 5 + 0 + 4 + 625 = 666.

It is not a de Polignac number, because 38813504625 - 2¹⁵ = 38813471857 is a prime.

It is a super-3 number, since 3×38813504625³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770976 + ... + 819774.

It is an arithmetic number, because the mean of its divisors is an integer number (841214400).

Almost surely, 2^38813504625 is an apocalyptic number.

38813504625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38813504625 is an abundant number, since it is smaller than the sum of its proper divisors (41943077775).

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

38813504625 is a wasteful number, since it uses less digits than its factorization.

38813504625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48928 (or 48915 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38813504625 in words is "thirty-eight billion, eight hundred thirteen million, five hundred four thousand, six hundred twenty-five".