384189120 has 672 divisors, whose sum is σ = 1711756800. Its totient is φ = 76972032.

The previous prime is 384189089. The next prime is 384189131. The reversal of 384189120 is 21981483.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6511651 + ... + 6511709.

Almost surely, 2^384189120 is an apocalyptic number.

384189120 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 384189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855878400).

384189120 is an abundant number, since it is smaller than the sum of its proper divisors (1327567680).

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

384189120 is a wasteful number, since it uses less digits than its factorization.

384189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 384189120 is about 19600.7428430659. The cubic root of 384189120 is about 726.9675418014.

The spelling of 384189120 in words is "three hundred eighty-four million, one hundred eighty-nine thousand, one hundred twenty".