382013640 has 48 divisors (see below), whose sum is σ = 1241545500. Its totient is φ = 101870208.

The previous prime is 382013627. The next prime is 382013663. The reversal of 382013640 is 46310283.

It is a happy number.

382013640 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 13 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 376282404 + 5731236 = 19398^2 + 2394^2 .

It is a super-2 number, since 2×382013640² = 291868842292099200, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 530215 + ... + 530934.

Almost surely, 2^382013640 is an apocalyptic number.

382013640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382013640 is an abundant number, since it is smaller than the sum of its proper divisors (859531860).

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

382013640 is a wasteful number, since it uses less digits than its factorization.

382013640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061166 (or 1061159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 382013640 is about 19545.1692241331. The cubic root of 382013640 is about 725.5927866859.

The spelling of 382013640 in words is "three hundred eighty-two million, thirteen thousand, six hundred forty".