384105120 has 192 divisors, whose sum is σ = 1411603200. Its totient is φ = 87757824.

The previous prime is 384105091. The next prime is 384105167. The reversal of 384105120 is 21501483.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163474 + ... + 165806.

It is an arithmetic number, because the mean of its divisors is an integer number (7352100).

Almost surely, 2^384105120 is an apocalyptic number.

384105120 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 384105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705801600).

384105120 is an abundant number, since it is smaller than the sum of its proper divisors (1027498080).

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

384105120 is a wasteful number, since it uses less digits than its factorization.

384105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 384105120 is about 19598.5999499964. The cubic root of 384105120 is about 726.9145559833.

The spelling of 384105120 in words is "three hundred eighty-four million, one hundred five thousand, one hundred twenty".