384516720 has 400 divisors, whose sum is σ = 1566417600. Its totient is φ = 87381504.

The previous prime is 384516703. The next prime is 384516721. The reversal of 384516720 is 27615483.

384516720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (384516721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222554 + ... + 2222726.

It is an arithmetic number, because the mean of its divisors is an integer number (3916044).

Almost surely, 2^384516720 is an apocalyptic number.

384516720 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 384516720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783208800).

384516720 is an abundant number, since it is smaller than the sum of its proper divisors (1181900880).

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

384516720 is a wasteful number, since it uses less digits than its factorization.

384516720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 384516720 is about 19609.0978884802. The cubic root of 384516720 is about 727.1741127274.

The spelling of 384516720 in words is "three hundred eighty-four million, five hundred sixteen thousand, seven hundred twenty".