38624157 has 24 divisors (see below), whose sum is σ = 65546208. Its totient is φ = 21607200.

The previous prime is 38624149. The next prime is 38624161. The reversal of 38624157 is 75142683.

It is not a de Polignac number, because 38624157 - 2³ = 38624149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38624147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13719 + ... + 16292.

It is an arithmetic number, because the mean of its divisors is an integer number (2731092).

Almost surely, 2^38624157 is an apocalyptic number.

It is an amenable number.

38624157 is a deficient number, since it is larger than the sum of its proper divisors (26922051).

38624157 is a wasteful number, since it uses less digits than its factorization.

38624157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30041 (or 30038 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 38624157 is about 6214.8336260917. The cubic root of 38624157 is about 338.0282558687.

It can be divided in two parts, 38624 and 157, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 38624157 in words is "thirty-eight million, six hundred twenty-four thousand, one hundred fifty-seven".