38904672 has 48 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 12862080.

The previous prime is 38904667. The next prime is 38904713. The reversal of 38904672 is 27640983.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38904672.

It is a congruent number.

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, 10597 + ... + 13787.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^38904672 is an apocalyptic number.

38904672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576).

38904672 is an abundant number, since it is smaller than the sum of its proper divisors (64056480).

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

38904672 is a wasteful number, since it uses less digits than its factorization.

38904672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 38904672 is about 6237.3609804147. The cubic root of 38904672 is about 338.8446133961.

The spelling of 38904672 in words is "thirty-eight million, nine hundred four thousand, six hundred seventy-two".