38884515264 has 420 divisors, whose sum is σ = 136979716896. Its totient is φ = 10870142976.

The previous prime is 38884515223. The next prime is 38884515281. The reversal of 38884515264 is 46251548883.

38884515264 is a `hidden beast` number, since 3 + 8 + 88 + 451 + 52 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 38884515264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11937124 + ... + 11940380.

Almost surely, 2^38884515264 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 38884515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68489858448).

38884515264 is an abundant number, since it is smaller than the sum of its proper divisors (98095201632).

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

38884515264 is a wasteful number, since it uses less digits than its factorization.

38884515264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3316 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 38884515264 in words is "thirty-eight billion, eight hundred eighty-four million, five hundred fifteen thousand, two hundred sixty-four".