38624976 has 120 divisors (see below), whose sum is σ = 119159040. Its totient is φ = 11605248.

The previous prime is 38624959. The next prime is 38624987. The reversal of 38624976 is 67942683.

38624976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (435456) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87765 + ... + 88203.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 2^38624976 is an apocalyptic number.

38624976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38624976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

38624976 is an abundant number, since it is smaller than the sum of its proper divisors (80534064).

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

38624976 is a wasteful number, since it uses less digits than its factorization.

38624976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 38624976 is about 6214.8995164846. The cubic root of 38624976 is about 338.0306450746.

The spelling of 38624976 in words is "thirty-eight million, six hundred twenty-four thousand, nine hundred seventy-six".