38256768 has 96 divisors (see below), whose sum is σ = 120135600. Its totient is φ = 11589120.

The previous prime is 38256767. The next prime is 38256781. The reversal of 38256768 is 86765283.

38256768 is a `hidden beast` number, since 3 + 82 + 567 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (38256767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11163 + ... + 14181.

Almost surely, 2^38256768 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 38256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60067800).

38256768 is an abundant number, since it is smaller than the sum of its proper divisors (81878832).

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

38256768 is a wasteful number, since it uses less digits than its factorization.

38256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3035 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38256768 is about 6185.2055745949. The cubic root of 38256768 is about 336.9530763209.

The spelling of 38256768 in words is "thirty-eight million, two hundred fifty-six thousand, seven hundred sixty-eight".