382990680 has 160 divisors (see below), whose sum is σ = 1317690000. Its totient is φ = 99719424.

The previous prime is 382990679. The next prime is 382990691. The reversal of 382990680 is 86099283.

It is a super-3 number, since 3×382990680³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137946 + ... + 140694.

Almost surely, 2^382990680 is an apocalyptic number.

382990680 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 382990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658845000).

382990680 is an abundant number, since it is smaller than the sum of its proper divisors (934699320).

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

382990680 is a wasteful number, since it uses less digits than its factorization.

382990680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 382990680 is about 19570.1476744556. The cubic root of 382990680 is about 726.2108533106.

The spelling of 382990680 in words is "three hundred eighty-two million, nine hundred ninety thousand, six hundred eighty".