38004768 has 48 divisors (see below), whose sum is σ = 110849760. Its totient is φ = 12667968.

The previous prime is 38004739. The next prime is 38004793. The reversal of 38004768 is 86740083.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21130 + ... + 22857.

It is an arithmetic number, because the mean of its divisors is an integer number (2309370).

Almost surely, 2^38004768 is an apocalyptic number.

It is an amenable number.

38004768 is an abundant number, since it is smaller than the sum of its proper divisors (72844992).

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

38004768 is a wasteful number, since it uses less digits than its factorization.

38004768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44006 (or 43992 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38004768 is about 6164.8007267064. The cubic root of 38004768 is about 336.2116014065.

The spelling of 38004768 in words is "thirty-eight million, four thousand, seven hundred sixty-eight".