38904432 has 160 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 10386432.

The previous prime is 38904407. The next prime is 38904433. The reversal of 38904432 is 23440983.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38904393 and 38904402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38904433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279819 + ... + 279957.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^38904432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38904432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

38904432 is an abundant number, since it is smaller than the sum of its proper divisors (86087568).

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

38904432 is a wasteful number, since it uses less digits than its factorization.

38904432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 38904432 is about 6237.3417414793. The cubic root of 38904432 is about 338.8439166257.

The spelling of 38904432 in words is "thirty-eight million, nine hundred four thousand, four hundred thirty-two".