38800256 has 64 divisors (see below), whose sum is σ = 89339760. Its totient is φ = 16588800.

The previous prime is 38800247. The next prime is 38800301. The reversal of 38800256 is 65200883.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23126 + ... + 24746.

Almost surely, 2^38800256 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 38800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44669880).

38800256 is an abundant number, since it is smaller than the sum of its proper divisors (50539504).

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

38800256 is a wasteful number, since it uses less digits than its factorization.

38800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 38800256 is about 6228.9851500866. The cubic root of 38800256 is about 338.5412008291.

The spelling of 38800256 in words is "thirty-eight million, eight hundred thousand, two hundred fifty-six".