382009344 has 136 divisors (see below), whose sum is σ = 1069539360. Its totient is φ = 121110528.

The previous prime is 382009343. The next prime is 382009361. The reversal of 382009344 is 443900283.

It is a super-2 number, since 2×382009344² = 291862277806620672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382009343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5701599 + ... + 5701665.

It is an arithmetic number, because the mean of its divisors is an integer number (7864260).

Almost surely, 2^382009344 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 382009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534769680).

382009344 is an abundant number, since it is smaller than the sum of its proper divisors (687530016).

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

382009344 is an frugal number, since it uses more digits than its factorization.

382009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 382009344 is about 19545.0593245454. The cubic root of 382009344 is about 725.5900667496.

The spelling of 382009344 in words is "three hundred eighty-two million, nine thousand, three hundred forty-four".