384120 has 96 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 92160.

The previous prime is 384113. The next prime is 384133. The reversal of 384120 is 21483.

It is a happy number.

384120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 384093 and 384102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3912 + ... + 4008.

2³⁸⁴¹²⁰ is an apocalyptic number.

384120 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 384120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

384120 is an abundant number, since it is smaller than the sum of its proper divisors (991800).

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

384120 is a wasteful number, since it uses less digits than its factorization.

384120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 384120 is about 619.7741524136. The cubic root of 384120 is about 72.6923942605.

The spelling of 384120 in words is "three hundred eighty-four thousand, one hundred twenty".