384612096 has 144 divisors (see below), whose sum is σ = 1139080320. Its totient is φ = 114216960.

The previous prime is 384612089. The next prime is 384612113. The reversal of 384612096 is 690216483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447315 + ... + 448173.

It is an arithmetic number, because the mean of its divisors is an integer number (7910280).

Almost surely, 2^384612096 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 384612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569540160).

384612096 is an abundant number, since it is smaller than the sum of its proper divisors (754468224).

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

384612096 is a wasteful number, since it uses less digits than its factorization.

384612096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 384612096 is about 19611.5296700691. The cubic root of 384612096 is about 727.2342308108.

The spelling of 384612096 in words is "three hundred eighty-four million, six hundred twelve thousand, ninety-six".