38364084864 has 256 divisors, whose sum is σ = 131529081600. Its totient is φ = 10781061120.

The previous prime is 38364084851. The next prime is 38364084881. The reversal of 38364084864 is 46848046383.

38364084864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 38364084864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462714 + ... + 1488710.

It is an arithmetic number, because the mean of its divisors is an integer number (513785475).

Almost surely, 2^38364084864 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 38364084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65764540800).

38364084864 is an abundant number, since it is smaller than the sum of its proper divisors (93164996736).

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

38364084864 is a wasteful number, since it uses less digits than its factorization.

38364084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26088 (or 26070 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 38364084864 in words is "thirty-eight billion, three hundred sixty-four million, eighty-four thousand, eight hundred sixty-four".