38624625 has 96 divisors (see below), whose sum is σ = 79497600. Its totient is φ = 17884800.

The previous prime is 38624623. The next prime is 38624627. The reversal of 38624625 is 52642683.

38624625 is a `hidden beast` number, since 3 + 8 + 6 + 24 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (38624623) and next prime (38624627).

It is not a de Polignac number, because 38624625 - 2¹ = 38624623 is a prime.

Its product of digits (69120) is a multiple of the sum of its prime factors (192).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38624625.

It is not an unprimeable number, because it can be changed into a prime (38624623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277806 + ... + 277944.

It is an arithmetic number, because the mean of its divisors is an integer number (828100).

Almost surely, 2^38624625 is an apocalyptic number.

It is an amenable number.

38624625 is an abundant number, since it is smaller than the sum of its proper divisors (40872975).

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

38624625 is a wasteful number, since it uses less digits than its factorization.

38624625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 38624625 is about 6214.8712778303. The cubic root of 38624625 is about 338.0296211334.

The spelling of 38624625 in words is "thirty-eight million, six hundred twenty-four thousand, six hundred twenty-five".