383368320 has 384 divisors, whose sum is σ = 1451174400. Its totient is φ = 92897280.

The previous prime is 383368303. The next prime is 383368357. The reversal of 383368320 is 23863383.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3392584 + ... + 3392696.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2^383368320 is an apocalyptic number.

383368320 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 383368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725587200).

383368320 is an abundant number, since it is smaller than the sum of its proper divisors (1067806080).

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

383368320 is a wasteful number, since it uses less digits than its factorization.

383368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 383368320 is about 19579.7936659200. The cubic root of 383368320 is about 726.4494632752.

It can be divided in two parts, 38336 and 8320, that added together give a 6-th power (46656 = 6⁶).

The spelling of 383368320 in words is "three hundred eighty-three million, three hundred sixty-eight thousand, three hundred twenty".