38905365924 has 288 divisors, whose sum is σ = 108101081088. Its totient is φ = 11771136000.

The previous prime is 38905365911. The next prime is 38905366013. The reversal of 38905365924 is 42956350983.

38905365924 is a `hidden beast` number, since 3 + 89 + 0 + 536 + 5 + 9 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147929017 + ... + 147929279.

It is an arithmetic number, because the mean of its divisors is an integer number (375350976).

Almost surely, 2^38905365924 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 38905365924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54050540544).

38905365924 is an abundant number, since it is smaller than the sum of its proper divisors (69195715164).

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

38905365924 is a wasteful number, since it uses less digits than its factorization.

38905365924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 38905365924 in words is "thirty-eight billion, nine hundred five million, three hundred sixty-five thousand, nine hundred twenty-four".