384318720 has 216 divisors, whose sum is σ = 1350867336. Its totient is φ = 100859904.

The previous prime is 384318713. The next prime is 384318721. The reversal of 384318720 is 27813483.

384318720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108493056 + 275825664 = 10416^2 + 16608^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384318721) 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, 840732 + ... + 841188.

Almost surely, 2^384318720 is an apocalyptic number.

384318720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675433668).

384318720 is an abundant number, since it is smaller than the sum of its proper divisors (966548616).

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

384318720 is a wasteful number, since it uses less digits than its factorization.

384318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 384318720 is about 19604.0485614579. The cubic root of 384318720 is about 727.0492762012.

The spelling of 384318720 in words is "three hundred eighty-four million, three hundred eighteen thousand, seven hundred twenty".