384358304 has 48 divisors (see below), whose sum is σ = 874069056. Its totient is φ = 164428800.

The previous prime is 384358301. The next prime is 384358361. The reversal of 384358304 is 403853483.

It is not an unprimeable number, because it can be changed into a prime (384358301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26132 + ... + 38099.

It is an arithmetic number, because the mean of its divisors is an integer number (18209772).

Almost surely, 2^384358304 is an apocalyptic number.

384358304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

384358304 is an abundant number, since it is smaller than the sum of its proper divisors (489710752).

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

384358304 is a wasteful number, since it uses less digits than its factorization.

384358304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64269 (or 64261 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 384358304 is about 19605.0581228417. The cubic root of 384358304 is about 727.0742368472.

The spelling of 384358304 in words is "three hundred eighty-four million, three hundred fifty-eight thousand, three hundred four".