38590464 has 96 divisors (see below), whose sum is σ = 112432320. Its totient is φ = 11673600.

The previous prime is 38590457. The next prime is 38590477. The reversal of 38590464 is 46409583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 67299 + ... + 67869.

It is an arithmetic number, because the mean of its divisors is an integer number (1171170).

Almost surely, 2^38590464 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 38590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56216160).

38590464 is an abundant number, since it is smaller than the sum of its proper divisors (73841856).

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

38590464 is a wasteful number, since it uses less digits than its factorization.

38590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 38590464 is about 6212.1223426459. The cubic root of 38590464 is about 337.9299365765.

The spelling of 38590464 in words is "thirty-eight million, five hundred ninety thousand, four hundred sixty-four".