382361980 has 192 divisors, whose sum is σ = 1097349120. Its totient is φ = 108057600.

The previous prime is 382361963. The next prime is 382362017. The reversal of 382361980 is 89163283.

382361980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1421286 + ... + 1421554.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^382361980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382361980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

382361980 is an abundant number, since it is smaller than the sum of its proper divisors (714987140).

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

382361980 is a wasteful number, since it uses less digits than its factorization.

382361980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 382361980 is about 19554.0783469843. The cubic root of 382361980 is about 725.8132641586.

The spelling of 382361980 in words is "three hundred eighty-two million, three hundred sixty-one thousand, nine hundred eighty".