384028320 has 96 divisors (see below), whose sum is σ = 1302763392. Its totient is φ = 94528512.

The previous prime is 384028319. The next prime is 384028321. The reversal of 384028320 is 23820483.

It is an interprime number because it is at equal distance from previous prime (384028319) and next prime (384028321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (384028321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24532 + ... + 37011.

It is an arithmetic number, because the mean of its divisors is an integer number (13570452).

Almost surely, 2^384028320 is an apocalyptic number.

384028320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384028320 is an abundant number, since it is smaller than the sum of its proper divisors (918735072).

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

384028320 is a wasteful number, since it uses less digits than its factorization.

384028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61574 (or 61566 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 384028320 is about 19596.6405284171. The cubic root of 384028320 is about 726.8661050461.

The spelling of 384028320 in words is "three hundred eighty-four million, twenty-eight thousand, three hundred twenty".