382877568 has 96 divisors (see below), whose sum is σ = 1110869760. Its totient is φ = 126572544.

The previous prime is 382877543. The next prime is 382877581. The reversal of 382877568 is 865778283.

382877568 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 77 + 568 = 666.

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 11 ways as a sum of consecutive naturals, for example, 144996 + ... + 147612.

It is an arithmetic number, because the mean of its divisors is an integer number (11571560).

Almost surely, 2^382877568 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 382877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555434880).

382877568 is an abundant number, since it is smaller than the sum of its proper divisors (727992192).

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

382877568 is a wasteful number, since it uses less digits than its factorization.

382877568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2749 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 382877568 is about 19567.2575492837. The cubic root of 382877568 is about 726.1393535289.

The spelling of 382877568 in words is "three hundred eighty-two million, eight hundred seventy-seven thousand, five hundred sixty-eight".