383395680 has 336 divisors, whose sum is σ = 1437775920. Its totient is φ = 96297984.

The previous prime is 383395667. The next prime is 383395703. The reversal of 383395680 is 86593383.

383395680 is a `hidden beast` number, since 3 + 83 + 3 + 9 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2216074 + ... + 2216246.

It is an arithmetic number, because the mean of its divisors is an integer number (4279095).

Almost surely, 2^383395680 is an apocalyptic number.

383395680 is a gapful number since it is divisible by the number (30) 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 383395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718887960).

383395680 is an abundant number, since it is smaller than the sum of its proper divisors (1054380240).

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

383395680 is a wasteful number, since it uses less digits than its factorization.

383395680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 383395680 is about 19580.4923329318. The cubic root of 383395680 is about 726.4667444671.

The spelling of 383395680 in words is "three hundred eighty-three million, three hundred ninety-five thousand, six hundred eighty".