38401582211872 has 144 divisors (see below), whose sum is σ = 90296447673600. Its totient is φ = 16003127923200.

The previous prime is 38401582211869. The next prime is 38401582211879. The reversal of 38401582211872 is 27811228510483.

It is not an unprimeable number, because it can be changed into a prime (38401582211879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6138547 + ... + 10699762.

It is an arithmetic number, because the mean of its divisors is an integer number (627058664400).

Almost surely, 2^{38401582211872} is an apocalyptic number.

38401582211872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38401582211872 is an abundant number, since it is smaller than the sum of its proper divisors (51894865461728).

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

38401582211872 is a wasteful number, since it uses less digits than its factorization.

38401582211872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16838391 (or 16838372 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 38401582211872 in words is "thirty-eight trillion, four hundred one billion, five hundred eighty-two million, two hundred eleven thousand, eight hundred seventy-two".