382100976 has 280 divisors, whose sum is σ = 1229546304. Its totient is φ = 114462720.

The previous prime is 382100969. The next prime is 382100981. The reversal of 382100976 is 679001283.

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

It is a self number, because there is not a number n which added to its sum of digits gives 382100976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8129785 + ... + 8129831.

Almost surely, 2^382100976 is an apocalyptic number.

382100976 is a gapful number since it is divisible by the number (36) 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 382100976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614773152).

382100976 is an abundant number, since it is smaller than the sum of its proper divisors (847445328).

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

382100976 is a wasteful number, since it uses less digits than its factorization.

382100976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 382100976 is about 19547.4033058102. The cubic root of 382100976 is about 725.6480775065.

The spelling of 382100976 in words is "three hundred eighty-two million, one hundred thousand, nine hundred seventy-six".