38616264 has 80 divisors (see below), whose sum is σ = 112907520. Its totient is φ = 12307680.

The previous prime is 38616257. The next prime is 38616269. The reversal of 38616264 is 46261683.

38616264 is a `hidden beast` number, since 38 + 616 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38616269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13609 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (1411344).

Almost surely, 2^38616264 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 38616264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56453760).

38616264 is an abundant number, since it is smaller than the sum of its proper divisors (74291256).

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

38616264 is a wasteful number, since it uses less digits than its factorization.

38616264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2619 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38616264 is about 6214.1985806699. The cubic root of 38616264 is about 338.0052284942.

The spelling of 38616264 in words is "thirty-eight million, six hundred sixteen thousand, two hundred sixty-four".