384438096 has 160 divisors (see below), whose sum is σ = 1327692800. Its totient is φ = 104042880.

The previous prime is 384438073. The next prime is 384438107. The reversal of 384438096 is 690834483.

384438096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×384438096² = 295585299312210432, which contains 22 as substring.

It is a congruent number.

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, 54111 + ... + 60801.

It is an arithmetic number, because the mean of its divisors is an integer number (8298080).

Almost surely, 2^384438096 is an apocalyptic number.

384438096 is a gapful number since it is divisible by the number (36) 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 384438096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663846400).

384438096 is an abundant number, since it is smaller than the sum of its proper divisors (943254704).

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

384438096 is a wasteful number, since it uses less digits than its factorization.

384438096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 384438096 is about 19607.0930022785. The cubic root of 384438096 is about 727.1245464089.

The spelling of 384438096 in words is "three hundred eighty-four million, four hundred thirty-eight thousand, ninety-six".