382716576 has 240 divisors, whose sum is σ = 1270418688. Its totient is φ = 111974400.

The previous prime is 382716559. The next prime is 382716583. The reversal of 382716576 is 675617283.

382716576 is a `hidden beast` number, since 3 + 8 + 2 + 71 + 6 + 576 = 666.

Its product of digits (423360) is a multiple of the sum of its prime divisors (480).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883656 + ... + 884088.

Almost surely, 2^382716576 is an apocalyptic number.

382716576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382716576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635209344).

382716576 is an abundant number, since it is smaller than the sum of its proper divisors (887702112).

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

382716576 is a wasteful number, since it uses less digits than its factorization.

382716576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 382716576 is about 19563.1433057165. The cubic root of 382716576 is about 726.0375637964.

The spelling of 382716576 in words is "three hundred eighty-two million, seven hundred sixteen thousand, five hundred seventy-six".