38056574816 has 96 divisors (see below), whose sum is σ = 86637999168. Its totient is φ = 16298311680.

The previous prime is 38056574753. The next prime is 38056574821. The reversal of 38056574816 is 61847565083.

38056574816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464216 + ... + 540008.

It is an arithmetic number, because the mean of its divisors is an integer number (902479158).

Almost surely, 2^38056574816 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 38056574816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43318999584).

38056574816 is an abundant number, since it is smaller than the sum of its proper divisors (48581424352).

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

38056574816 is a wasteful number, since it uses less digits than its factorization.

38056574816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75904 (or 75896 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 38056574816 in words is "thirty-eight billion, fifty-six million, five hundred seventy-four thousand, eight hundred sixteen".