382795776 has 204 divisors, whose sum is σ = 1226824560. Its totient is φ = 114032640.

The previous prime is 382795769. The next prime is 382795799. The reversal of 382795776 is 677597283.

It is a super-2 number, since 2×382795776² = 293065212246884352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (4445280) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6488035 + ... + 6488093.

Almost surely, 2^382795776 is an apocalyptic number.

382795776 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 382795776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613412280).

382795776 is an abundant number, since it is smaller than the sum of its proper divisors (844028784).

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

382795776 is an equidigital number, since it uses as much as digits as its factorization.

382795776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 382795776 is about 19565.1674155883. The cubic root of 382795776 is about 726.0876428128.

The spelling of 382795776 in words is "three hundred eighty-two million, seven hundred ninety-five thousand, seven hundred seventy-six".