38515968 has 108 divisors (see below), whose sum is σ = 113063860. Its totient is φ = 12607488.

The previous prime is 38515957. The next prime is 38515969. The reversal of 38515968 is 86951583.

38515968 is a `hidden beast` number, since 3 + 8 + 51 + 596 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 8573184 = 5472^2 + 2928^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (259200) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38515969) 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, 168078 + ... + 168306.

Almost surely, 2^38515968 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 38515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56531930).

38515968 is an abundant number, since it is smaller than the sum of its proper divisors (74547892).

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

38515968 is a wasteful number, since it uses less digits than its factorization.

38515968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 307 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 38515968 is about 6206.1234277123. The cubic root of 38515968 is about 337.7123470267.

The spelling of 38515968 in words is "thirty-eight million, five hundred fifteen thousand, nine hundred sixty-eight".