384355300 has 72 divisors (see below), whose sum is σ = 994686336. Its totient is φ = 126044160.

The previous prime is 384355253. The next prime is 384355319. The reversal of 384355300 is 3553483.

384355300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4164 + ... + 28036.

It is an arithmetic number, because the mean of its divisors is an integer number (13815088).

Almost surely, 2^384355300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384355300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497343168).

384355300 is an abundant number, since it is smaller than the sum of its proper divisors (610331036).

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

384355300 is a wasteful number, since it uses less digits than its factorization.

384355300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23917 (or 23910 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 384355300 is about 19604.9815098102. The cubic root of 384355300 is about 727.0723426627.

The spelling of 384355300 in words is "three hundred eighty-four million, three hundred fifty-five thousand, three hundred".