38317620264 has 512 divisors, whose sum is σ = 131991552000. Its totient is φ = 8970393600.

The previous prime is 38317620259. The next prime is 38317620329. The reversal of 38317620264 is 46202671383.

38317620264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38317620264² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61902147 + ... + 61902765.

It is an arithmetic number, because the mean of its divisors is an integer number (257796000).

Almost surely, 2^38317620264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38317620264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776000).

38317620264 is an abundant number, since it is smaller than the sum of its proper divisors (93673931736).

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

38317620264 is a wasteful number, since it uses less digits than its factorization.

38317620264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 38317620264 in words is "thirty-eight billion, three hundred seventeen million, six hundred twenty thousand, two hundred sixty-four".