382006980 has 108 divisors (see below), whose sum is σ = 1178096556. Its totient is φ = 100195200.

The previous prime is 382006979. The next prime is 382007011. The reversal of 382006980 is 89600283.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 335549124 = 6816^2 + 18318^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 907170 + ... + 907590.

Almost surely, 2^382006980 is an apocalyptic number.

382006980 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 382006980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589048278).

382006980 is an abundant number, since it is smaller than the sum of its proper divisors (796089576).

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

382006980 is a wasteful number, since it uses less digits than its factorization.

382006980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 382006980 is about 19544.9988488104. The cubic root of 382006980 is about 725.5885700162.

The spelling of 382006980 in words is "three hundred eighty-two million, six thousand, nine hundred eighty".