38058955564032 has 352 divisors, whose sum is σ = 123194139196800. Its totient is φ = 11535657762816.

The previous prime is 38058955563989. The next prime is 38058955564043. The reversal of 38058955564032 is 23046555985083.

It is a happy number.

38058955564032 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 8 + 9 + 5 + 556 + 40 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23291194 + ... + 24871622.

Almost surely, 2^{38058955564032} is an apocalyptic number.

38058955564032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38058955564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61597069598400).

38058955564032 is an abundant number, since it is smaller than the sum of its proper divisors (85135183632768).

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

38058955564032 is a wasteful number, since it uses less digits than its factorization.

38058955564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580538 (or 1580514 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 38058955564032 in words is "thirty-eight trillion, fifty-eight billion, nine hundred fifty-five million, five hundred sixty-four thousand, thirty-two".