382680000 has 210 divisors, whose sum is σ = 1371954584. Its totient is φ = 101952000.

The previous prime is 382679977. The next prime is 382680031. The reversal of 382680000 is 86283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359469 + ... + 360531.

Almost surely, 2^382680000 is an apocalyptic number.

382680000 is a gapful number since it is divisible by the number (30) 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 382680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685977292).

382680000 is an abundant number, since it is smaller than the sum of its proper divisors (989274584).

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

382680000 is a wasteful number, since it uses less digits than its factorization.

382680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 382680000 is about 19562.2084642813. The cubic root of 382680000 is about 726.0144340640.

The spelling of 382680000 in words is "three hundred eighty-two million, six hundred eighty thousand".