382819320 has 96 divisors (see below), whose sum is σ = 1339884000. Its totient is φ = 94231296.

The previous prime is 382819319. The next prime is 382819321. The reversal of 382819320 is 23918283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382819319) and next prime (382819321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382819321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36220 + ... + 45579.

It is an arithmetic number, because the mean of its divisors is an integer number (13957125).

Almost surely, 2^382819320 is an apocalyptic number.

382819320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382819320 is an abundant number, since it is smaller than the sum of its proper divisors (957064680).

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

382819320 is a wasteful number, since it uses less digits than its factorization.

382819320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81829 (or 81822 counting only the distinct ones).

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

The square root of 382819320 is about 19565.7690878739. The cubic root of 382819320 is about 726.1025286066.

The spelling of 382819320 in words is "three hundred eighty-two million, eight hundred nineteen thousand, three hundred twenty".