384918720 has 224 divisors, whose sum is σ = 1316736000. Its totient is φ = 94961664.

The previous prime is 384918719. The next prime is 384918803. The reversal of 384918720 is 27819483.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857056 + ... + 857504.

Almost surely, 2^384918720 is an apocalyptic number.

384918720 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 384918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658368000).

384918720 is an abundant number, since it is smaller than the sum of its proper divisors (931817280).

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

384918720 is a wasteful number, since it uses less digits than its factorization.

384918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 384918720 is about 19619.3455548344. The cubic root of 384918720 is about 727.4274369354.

The spelling of 384918720 in words is "three hundred eighty-four million, nine hundred eighteen thousand, seven hundred twenty".