38005904 has 20 divisors (see below), whose sum is σ = 73733376. Its totient is φ = 18977952.

The previous prime is 38005901. The next prime is 38005943. The reversal of 38005904 is 40950083.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38005901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19937 + ... + 21759.

Almost surely, 2^38005904 is an apocalyptic number.

It is an amenable number.

38005904 is a deficient number, since it is larger than the sum of its proper divisors (35727472).

38005904 is a wasteful number, since it uses less digits than its factorization.

38005904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 38005904 is about 6164.8928620050. The cubic root of 38005904 is about 336.2149512719.

Adding to 38005904 its reverse (40950083), we get a palindrome (78955987).

The spelling of 38005904 in words is "thirty-eight million, five thousand, nine hundred four".