384734400 has 84 divisors (see below), whose sum is σ = 1262265192. Its totient is φ = 102594560.

The previous prime is 384734393. The next prime is 384734407. The reversal of 384734400 is 4437483.

It is an interprime number because it is at equal distance from previous prime (384734393) and next prime (384734407).

It is not an unprimeable number, because it can be changed into a prime (384734407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35277 + ... + 44876.

Almost surely, 2^384734400 is an apocalyptic number.

384734400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384734400 is an abundant number, since it is smaller than the sum of its proper divisors (877530792).

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

384734400 is a wasteful number, since it uses less digits than its factorization.

384734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80178 (or 80163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 384734400 is about 19614.6475879634. The cubic root of 384734400 is about 727.3113078018.

The spelling of 384734400 in words is "three hundred eighty-four million, seven hundred thirty-four thousand, four hundred".