38966256 has 240 divisors, whose sum is σ = 136181760. Its totient is φ = 10160640.

The previous prime is 38966237. The next prime is 38966269. The reversal of 38966256 is 65266983.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906171 + ... + 906213.

It is an arithmetic number, because the mean of its divisors is an integer number (567424).

Almost surely, 2^38966256 is an apocalyptic number.

38966256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38966256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

38966256 is an abundant number, since it is smaller than the sum of its proper divisors (97215504).

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

38966256 is a wasteful number, since it uses less digits than its factorization.

38966256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 38966256 is about 6242.2957315398. The cubic root of 38966256 is about 339.0233100634.

The spelling of 38966256 in words is "thirty-eight million, nine hundred sixty-six thousand, two hundred fifty-six".