384120882 has 72 divisors (see below), whose sum is σ = 906164532. Its totient is φ = 117504000.

The previous prime is 384120881. The next prime is 384120889. The reversal of 384120882 is 288021483.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 119049921 + 265070961 = 10911^2 + 16281^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384120881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212382 + ... + 214182.

Almost surely, 2^384120882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384120882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453082266).

384120882 is an abundant number, since it is smaller than the sum of its proper divisors (522043650).

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

384120882 is a wasteful number, since it uses less digits than its factorization.

384120882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 384120882 is about 19599.0020664319. The cubic root of 384120882 is about 726.9244989823.

The spelling of 384120882 in words is "three hundred eighty-four million, one hundred twenty thousand, eight hundred eighty-two".