38124864 has 56 divisors (see below), whose sum is σ = 112085120. Its totient is φ = 12707712.

The previous prime is 38124857. The next prime is 38124871. The reversal of 38124864 is 46842183.

It is an interprime number because it is at equal distance from previous prime (38124857) and next prime (38124871).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9304 + ... + 12759.

It is an arithmetic number, because the mean of its divisors is an integer number (2001520).

Almost surely, 2^38124864 is an apocalyptic number.

It is an amenable number.

38124864 is an abundant number, since it is smaller than the sum of its proper divisors (73960256).

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

38124864 is a wasteful number, since it uses less digits than its factorization.

38124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22084 (or 22068 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 38124864 is about 6174.5335046463. The cubic root of 38124864 is about 336.5653746622.

The spelling of 38124864 in words is "thirty-eight million, one hundred twenty-four thousand, eight hundred sixty-four".