382336144 has 20 divisors (see below), whose sum is σ = 764673280. Its totient is φ = 185001120.

The previous prime is 382336127. The next prime is 382336147. The reversal of 382336144 is 441633283.

382336144 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (382336147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384924 + ... + 385915.

It is an arithmetic number, because the mean of its divisors is an integer number (38233664).

Almost surely, 2^382336144 is an apocalyptic number.

It is an amenable number.

382336144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

382336144 is a wasteful number, since it uses less digits than its factorization.

382336144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770878 (or 770872 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 382336144 is about 19553.4177063755. The cubic root of 382336144 is about 725.7969161823.

The spelling of 382336144 in words is "three hundred eighty-two million, three hundred thirty-six thousand, one hundred forty-four".