38834304 has 64 divisors (see below), whose sum is σ = 107663040. Its totient is φ = 12379136.

The previous prime is 38834291. The next prime is 38834329. The reversal of 38834304 is 40343883.

It is a tau number, because it is divible by the number of its divisors (64).

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6634 + ... + 11030.

It is an arithmetic number, because the mean of its divisors is an integer number (1682235).

Almost surely, 2^38834304 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 38834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53831520).

38834304 is an abundant number, since it is smaller than the sum of its proper divisors (68828736).

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

38834304 is a wasteful number, since it uses less digits than its factorization.

38834304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 38834304 is about 6231.7175802502. The cubic root of 38834304 is about 338.6401974339.

The spelling of 38834304 in words is "thirty-eight million, eight hundred thirty-four thousand, three hundred four".