382576824 has 128 divisors (see below), whose sum is σ = 1228608000. Its totient is φ = 108041472.

The previous prime is 382576807. The next prime is 382576841. The reversal of 382576824 is 428675283.

It is an interprime number because it is at equal distance from previous prime (382576807) and next prime (382576841).

It is a self number, because there is not a number n which added to its sum of digits gives 382576824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133147 + ... + 135989.

It is an arithmetic number, because the mean of its divisors is an integer number (9598500).

Almost surely, 2^382576824 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 382576824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614304000).

382576824 is an abundant number, since it is smaller than the sum of its proper divisors (846031176).

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

382576824 is a wasteful number, since it uses less digits than its factorization.

382576824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2944 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 382576824 is about 19559.5711609432. The cubic root of 382576824 is about 725.9491802416.

The spelling of 382576824 in words is "three hundred eighty-two million, five hundred seventy-six thousand, eight hundred twenty-four".