382577664 has 88 divisors (see below), whose sum is σ = 1165447168. Its totient is φ = 109301760.

The previous prime is 382577651. The next prime is 382577687. The reversal of 382577664 is 466775283.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 12609 + ... + 30399.

Almost surely, 2^382577664 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 382577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582723584).

382577664 is an abundant number, since it is smaller than the sum of its proper divisors (782869504).

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

382577664 is a wasteful number, since it uses less digits than its factorization.

382577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17821 (or 17803 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 382577664 is about 19559.5926337948. The cubic root of 382577664 is about 725.9497115483.

The spelling of 382577664 in words is "three hundred eighty-two million, five hundred seventy-seven thousand, six hundred sixty-four".