384093360 has 480 divisors, whose sum is σ = 1628467200. Its totient is φ = 82736640.

The previous prime is 384093349. The next prime is 384093377. The reversal of 384093360 is 63390483.

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 95 ways as a sum of consecutive naturals, for example, 2010865 + ... + 2011055.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^384093360 is an apocalyptic number.

384093360 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 384093360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

384093360 is an abundant number, since it is smaller than the sum of its proper divisors (1244373840).

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

384093360 is a wasteful number, since it uses less digits than its factorization.

384093360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 384093360 is about 19598.2999262691. The cubic root of 384093360 is about 726.9071373523.

The spelling of 384093360 in words is "three hundred eighty-four million, ninety-three thousand, three hundred sixty".