38258304 has 128 divisors (see below), whose sum is σ = 119201280. Its totient is φ = 10644480.

The previous prime is 38258299. The next prime is 38258321. The reversal of 38258304 is 40385283.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115419 + ... + 115749.

It is an arithmetic number, because the mean of its divisors is an integer number (931260).

Almost surely, 2^38258304 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 38258304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59600640).

38258304 is an abundant number, since it is smaller than the sum of its proper divisors (80942976).

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

38258304 is a wasteful number, since it uses less digits than its factorization.

38258304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 38258304 is about 6185.3297406040. The cubic root of 38258304 is about 336.9575857887.

The spelling of 38258304 in words is "thirty-eight million, two hundred fifty-eight thousand, three hundred four".