38777589216 has 96 divisors (see below), whose sum is σ = 113147193600. Its totient is φ = 12920618880.

The previous prime is 38777589199. The next prime is 38777589229. The reversal of 38777589216 is 61298577783.

38777589216 is a `hidden beast` number, since 38 + 7 + 7 + 7 + 589 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531661 + ... + 2546931.

It is an arithmetic number, because the mean of its divisors is an integer number (1178616600).

Almost surely, 2^38777589216 is an apocalyptic number.

38777589216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38777589216 is an abundant number, since it is smaller than the sum of its proper divisors (74369604384).

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

38777589216 is a wasteful number, since it uses less digits than its factorization.

38777589216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18229 (or 18215 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 38777589216 in words is "thirty-eight billion, seven hundred seventy-seven million, five hundred eighty-nine thousand, two hundred sixteen".