382336224 has 48 divisors (see below), whose sum is σ = 1007998992. Its totient is φ = 126891008.

The previous prime is 382336217. The next prime is 382336231. The reversal of 382336224 is 422633283.

It is an interprime number because it is at equal distance from previous prime (382336217) and next prime (382336231).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 13822 + ... + 30914.

It is an arithmetic number, because the mean of its divisors is an integer number (20999979).

Almost surely, 2^382336224 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 382336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503999496).

382336224 is an abundant number, since it is smaller than the sum of its proper divisors (625662768).

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

382336224 is a wasteful number, since it uses less digits than its factorization.

382336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17339 (or 17331 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 382336224 is about 19553.4197520536. The cubic root of 382336224 is about 725.7969668042.

The spelling of 382336224 in words is "three hundred eighty-two million, three hundred thirty-six thousand, two hundred twenty-four".