38008575 has 48 divisors (see below), whose sum is σ = 76185600. Its totient is φ = 18424800.

The previous prime is 38008561. The next prime is 38008613. The reversal of 38008575 is 57580083.

It is a happy number.

38008575 is a `hidden beast` number, since 3 + 80 + 0 + 8 + 575 = 666.

It is not a de Polignac number, because 38008575 - 2¹² = 38004479 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4866 + ... + 9984.

It is an arithmetic number, because the mean of its divisors is an integer number (1587200).

Almost surely, 2^38008575 is an apocalyptic number.

38008575 is an abundant number, since it is smaller than the sum of its proper divisors (38177025).

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

38008575 is a wasteful number, since it uses less digits than its factorization.

38008575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 38008575 is about 6165.1094880789. The cubic root of 38008575 is about 336.2228273210. Note that the first 3 decimals are identical.

It can be divided in two parts, 38008 and 575, that added together give a palindrome (38583).

The spelling of 38008575 in words is "thirty-eight million, eight thousand, five hundred seventy-five".