38760264 has 48 divisors (see below), whose sum is σ = 105709500. Its totient is φ = 12829824.

The previous prime is 38760257. The next prime is 38760277. The reversal of 38760264 is 46206783.

It can be written as a sum of positive squares in 2 ways, for example, as 26440164 + 12320100 = 5142^2 + 3510^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8922 + ... + 12534.

Almost surely, 2^38760264 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 38760264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52854750).

38760264 is an abundant number, since it is smaller than the sum of its proper divisors (66949236).

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

38760264 is a wasteful number, since it uses less digits than its factorization.

38760264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38760264 is about 6225.7741687279. The cubic root of 38760264 is about 338.4248476968.

The spelling of 38760264 in words is "thirty-eight million, seven hundred sixty thousand, two hundred sixty-four".