38304256 has 40 divisors (see below), whose sum is σ = 77584320. Its totient is φ = 18889728.

The previous prime is 38304239. The next prime is 38304257. The reversal of 38304256 is 65240383.

It is not an unprimeable number, because it can be changed into a prime (38304257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39975 + ... + 40921.

It is an arithmetic number, because the mean of its divisors is an integer number (1939608).

Almost surely, 2^38304256 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 38304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38792160).

38304256 is an abundant number, since it is smaller than the sum of its proper divisors (39280064).

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

38304256 is an frugal number, since it uses more digits than its factorization.

38304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 38304256 is about 6189.0432216943. The cubic root of 38304256 is about 337.0924382545.

The spelling of 38304256 in words is "thirty-eight million, three hundred four thousand, two hundred fifty-six".