384042800 has 60 divisors (see below), whose sum is σ = 938358840. Its totient is φ = 151004160.

The previous prime is 384042751. The next prime is 384042809. The reversal of 384042800 is 8240483.

It is not an unprimeable number, because it can be changed into a prime (384042809) 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, 15464 + ... + 31736.

It is an arithmetic number, because the mean of its divisors is an integer number (15639314).

Almost surely, 2^384042800 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 384042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469179420).

384042800 is an abundant number, since it is smaller than the sum of its proper divisors (554316040).

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

384042800 is a wasteful number, since it uses less digits than its factorization.

384042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350 (or 16339 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 384042800 is about 19597.0099760142. The cubic root of 384042800 is about 726.8752405607.

The spelling of 384042800 in words is "three hundred eighty-four million, forty-two thousand, eight hundred".