38807968 has 48 divisors (see below), whose sum is σ = 79720200. Its totient is φ = 18579456.

The previous prime is 38807963. The next prime is 38807981. The reversal of 38807968 is 86970883.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38588944 + 219024 = 6212^2 + 468^2 .

Together with 40912232 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (38807963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86208 + ... + 86656.

Almost surely, 2^38807968 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 38807968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39860100).

38807968 is an abundant number, since it is smaller than the sum of its proper divisors (40912232).

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

38807968 is a wasteful number, since it uses less digits than its factorization.

38807968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 38807968 is about 6229.6041607794. The cubic root of 38807968 is about 338.5636290040.

The spelling of 38807968 in words is "thirty-eight million, eight hundred seven thousand, nine hundred sixty-eight".