38401377574320 has 120 divisors (see below), whose sum is σ = 128993533546176. Its totient is φ = 10238071993344.

The previous prime is 38401377574319. The next prime is 38401377574363. The reversal of 38401377574320 is 2347577310483.

38401377574320 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 37 + 7 + 574 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2761909 + ... + 9188628.

Almost surely, 2^{38401377574320} is an apocalyptic number.

38401377574320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38401377574320 is an abundant number, since it is smaller than the sum of its proper divisors (90592155971856).

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

38401377574320 is a wasteful number, since it uses less digits than its factorization.

38401377574320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955019 (or 11955010 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 38401377574320 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-seven million, five hundred seventy-four thousand, three hundred twenty".