38733904 has 40 divisors (see below), whose sum is σ = 82717920. Its totient is φ = 17424000.

The previous prime is 38733901. The next prime is 38733917. The reversal of 38733904 is 40933783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38733901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16687 + ... + 18865.

It is an arithmetic number, because the mean of its divisors is an integer number (2067948).

Almost surely, 2^38733904 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 38733904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41358960).

38733904 is an abundant number, since it is smaller than the sum of its proper divisors (43984016).

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

38733904 is a wasteful number, since it uses less digits than its factorization.

38733904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 38733904 is about 6223.6568028772. The cubic root of 38733904 is about 338.3481118757.

It can be divided in two parts, 3873 and 3904, that added together give a palindrome (7777).

The spelling of 38733904 in words is "thirty-eight million, seven hundred thirty-three thousand, nine hundred four".