384370120 has 48 divisors (see below), whose sum is σ = 885583260. Its totient is φ = 150143616.

The previous prime is 384370093. The next prime is 384370123. The reversal of 384370120 is 21073483.

It can be written as a sum of positive squares in 2 ways, for example, as 381108484 + 3261636 = 19522^2 + 1806^2 .

It is not an unprimeable number, because it can be changed into a prime (384370123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71362 + ... + 76558.

Almost surely, 2^384370120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384370120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442791630).

384370120 is an abundant number, since it is smaller than the sum of its proper divisors (501213140).

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

384370120 is a wasteful number, since it uses less digits than its factorization.

384370120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 384370120 is about 19605.3594713282. The cubic root of 384370120 is about 727.0816873789.

The spelling of 384370120 in words is "three hundred eighty-four million, three hundred seventy thousand, one hundred twenty".