38076864 has 112 divisors (see below), whose sum is σ = 118116096. Its totient is φ = 10598400.

The previous prime is 38076851. The next prime is 38076901. The reversal of 38076864 is 46867083.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54759 + ... + 55449.

It is an arithmetic number, because the mean of its divisors is an integer number (1054608).

Almost surely, 2^38076864 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 38076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058048).

38076864 is an abundant number, since it is smaller than the sum of its proper divisors (80039232).

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

38076864 is a wasteful number, since it uses less digits than its factorization.

38076864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 38076864 is about 6170.6453471254. The cubic root of 38076864 is about 336.4240677309.

The spelling of 38076864 in words is "thirty-eight million, seventy-six thousand, eight hundred sixty-four".