38256 has 20 divisors (see below), whose sum is σ = 98952. Its totient is φ = 12736.

The previous prime is 38239. The next prime is 38261. The reversal of 38256 is 65283.

38256 = T₆₁ + T₆₂ + ... + T₇₆.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38256.

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 3 ways as a sum of consecutive naturals, for example, 351 + ... + 446.

2³⁸²⁵⁶ is an apocalyptic number.

It is an amenable number.

38256 is an abundant number, since it is smaller than the sum of its proper divisors (60696).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476).

38256 is a wasteful number, since it uses less digits than its factorization.

38256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 38256 is about 195.5914108544. The cubic root of 38256 is about 33.6950821542.

The spelling of 38256 in words is "thirty-eight thousand, two hundred fifty-six".