38400096384 has 384 divisors, whose sum is σ = 128804457600. Its totient is φ = 11298963456.

The previous prime is 38400096379. The next prime is 38400096403. The reversal of 38400096384 is 48369000483.

38400096384 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 0 + 0 + 9 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9298032 + ... + 9302160.

It is an arithmetic number, because the mean of its divisors is an integer number (335428275).

Almost surely, 2^38400096384 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 38400096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64402228800).

38400096384 is an abundant number, since it is smaller than the sum of its proper divisors (90404361216).

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

38400096384 is a wasteful number, since it uses less digits than its factorization.

38400096384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38400096384 in words is "thirty-eight billion, four hundred million, ninety-six thousand, three hundred eighty-four".