382937760 has 96 divisors (see below), whose sum is σ = 1340297280. Its totient is φ = 102115584.

The previous prime is 382937713. The next prime is 382937777. The reversal of 382937760 is 67739283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40002 + ... + 48641.

It is an arithmetic number, because the mean of its divisors is an integer number (13961430).

Almost surely, 2^382937760 is an apocalyptic number.

382937760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382937760 is an abundant number, since it is smaller than the sum of its proper divisors (957359520).

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

382937760 is a wasteful number, since it uses less digits than its factorization.

382937760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88667 (or 88653 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 382937760 is about 19568.7955684554. The cubic root of 382937760 is about 726.1774035423.

The spelling of 382937760 in words is "three hundred eighty-two million, nine hundred thirty-seven thousand, seven hundred sixty".