38868640 has 48 divisors (see below), whose sum is σ = 92263752. Its totient is φ = 15473664.

The previous prime is 38868629. The next prime is 38868649. The reversal of 38868640 is 4686883.

It can be written as a sum of positive squares in 4 ways, for example, as 31404816 + 7463824 = 5604^2 + 2732^2 .

It is not an unprimeable number, because it can be changed into a prime (38868649) 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, 43882 + ... + 44758.

Almost surely, 2^38868640 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 38868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46131876).

38868640 is an abundant number, since it is smaller than the sum of its proper divisors (53395112).

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

38868640 is a wasteful number, since it uses less digits than its factorization.

38868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 38868640 is about 6234.4719102744. The cubic root of 38868640 is about 338.7399728336.

The spelling of 38868640 in words is "thirty-eight million, eight hundred sixty-eight thousand, six hundred forty".