384334720 has 192 divisors, whose sum is σ = 1155823200. Its totient is φ = 119623680.

The previous prime is 384334711. The next prime is 384334721. The reversal of 384334720 is 27433483.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384334721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541726 + ... + 542434.

Almost surely, 2^384334720 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 384334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577911600).

384334720 is an abundant number, since it is smaller than the sum of its proper divisors (771488480).

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

384334720 is a wasteful number, since it uses less digits than its factorization.

384334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 384334720 is about 19604.4566361835. The cubic root of 384334720 is about 727.0593655935.

The spelling of 384334720 in words is "three hundred eighty-four million, three hundred thirty-four thousand, seven hundred twenty".