383768352 has 72 divisors (see below), whose sum is σ = 1190563920. Its totient is φ = 116292480.

The previous prime is 383768347. The next prime is 383768383. The reversal of 383768352 is 253867383.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 383768298 and 383768307.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 57402 + ... + 63737.

It is an arithmetic number, because the mean of its divisors is an integer number (16535610).

Almost surely, 2^383768352 is an apocalyptic number.

383768352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

383768352 is an abundant number, since it is smaller than the sum of its proper divisors (806795568).

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

383768352 is a wasteful number, since it uses less digits than its factorization.

383768352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121166 (or 121155 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 383768352 is about 19590.0064318519. The cubic root of 383768352 is about 726.7020506669.

The spelling of 383768352 in words is "three hundred eighty-three million, seven hundred sixty-eight thousand, three hundred fifty-two".