382764096 has 224 divisors, whose sum is σ = 1322832000. Its totient is φ = 106997760.

The previous prime is 382764079. The next prime is 382764103. The reversal of 382764096 is 690467283.

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, 246330 + ... + 247878.

It is an arithmetic number, because the mean of its divisors is an integer number (5905500).

Almost surely, 2^382764096 is an apocalyptic number.

382764096 is a gapful number since it is divisible by the number (36) 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 382764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661416000).

382764096 is an abundant number, since it is smaller than the sum of its proper divisors (940067904).

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

382764096 is a wasteful number, since it uses less digits than its factorization.

382764096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 382764096 is about 19564.3577967691. The cubic root of 382764096 is about 726.0676120352.

The spelling of 382764096 in words is "three hundred eighty-two million, seven hundred sixty-four thousand, ninety-six".