382739904 has 280 divisors, whose sum is σ = 1241407728. Its totient is φ = 116121600.

The previous prime is 382739899. The next prime is 382739909. The reversal of 382739904 is 409937283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382739899) and next prime (382739909).

It is a super-2 number, since 2×382739904² = 292979668227858432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 382739904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382739909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3789454 + ... + 3789554.

Almost surely, 2^382739904 is an apocalyptic number.

382739904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382739904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620703864).

382739904 is an abundant number, since it is smaller than the sum of its proper divisors (858667824).

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

382739904 is a wasteful number, since it uses less digits than its factorization.

382739904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 382739904 is about 19563.7395198362. The cubic root of 382739904 is about 726.0523150608.

The spelling of 382739904 in words is "three hundred eighty-two million, seven hundred thirty-nine thousand, nine hundred four".