384438880 has 96 divisors (see below), whose sum is σ = 1066153536. Its totient is φ = 128231424.

The previous prime is 384438863. The next prime is 384438881. The reversal of 384438880 is 88834483.

It is a self number, because there is not a number n which added to its sum of digits gives 384438880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384438881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36802 + ... + 46078.

It is an arithmetic number, because the mean of its divisors is an integer number (11105766).

Almost surely, 2^384438880 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 384438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533076768).

384438880 is an abundant number, since it is smaller than the sum of its proper divisors (681714656).

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

384438880 is a wasteful number, since it uses less digits than its factorization.

384438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9336 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The square root of 384438880 is about 19607.1129950332. The cubic root of 384438880 is about 727.1250406933.

It can be divided in two parts, 3844 and 38880, that added together give a palindrome (42724).

The spelling of 384438880 in words is "three hundred eighty-four million, four hundred thirty-eight thousand, eight hundred eighty".