382344576 has 64 divisors (see below), whose sum is σ = 1048396800. Its totient is φ = 123333120.

The previous prime is 382344541. The next prime is 382344587. The reversal of 382344576 is 675443283.

382344576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 4156 + ... + 27963.

It is an arithmetic number, because the mean of its divisors is an integer number (16381200).

Almost surely, 2^382344576 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 382344576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524198400).

382344576 is an abundant number, since it is smaller than the sum of its proper divisors (666052224).

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

382344576 is a wasteful number, since it uses less digits than its factorization.

382344576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32167 (or 32155 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 382344576 is about 19553.6333196672. The cubic root of 382344576 is about 725.8022516920.

The spelling of 382344576 in words is "three hundred eighty-two million, three hundred forty-four thousand, five hundred seventy-six".