38872960 has 64 divisors (see below), whose sum is σ = 106218720. Its totient is φ = 13326336.

The previous prime is 38872957. The next prime is 38872969. The reversal of 38872960 is 6927883.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×38872960² = 3022214038323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38872969) 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, 142 + ... + 8818.

Almost surely, 2^38872960 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 38872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53109360).

38872960 is an abundant number, since it is smaller than the sum of its proper divisors (67345760).

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

38872960 is an equidigital number, since it uses as much as digits as its factorization.

38872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8703 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 38872960 is about 6234.8183614280. The cubic root of 38872960 is about 338.7525219603.

The spelling of 38872960 in words is "thirty-eight million, eight hundred seventy-two thousand, nine hundred sixty".