38415264 has 48 divisors (see below), whose sum is σ = 106152480. Its totient is φ = 12130560.

The previous prime is 38415253. The next prime is 38415271. The reversal of 38415264 is 46251483.

38415264 = 2062² + 2063² + ... + 2070².

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8707 + ... + 12354.

It is an arithmetic number, because the mean of its divisors is an integer number (2211510).

Almost surely, 2^38415264 is an apocalyptic number.

It is an amenable number.

38415264 is an abundant number, since it is smaller than the sum of its proper divisors (67737216).

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

38415264 is a wasteful number, since it uses less digits than its factorization.

38415264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21093 (or 21085 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 38415264 is about 6198.0048402692. The cubic root of 38415264 is about 337.4177621303.

The spelling of 38415264 in words is "thirty-eight million, four hundred fifteen thousand, two hundred sixty-four".