384688224 has 96 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 126403200.

The previous prime is 384688217. The next prime is 384688247. The reversal of 384688224 is 422886483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 384688224.

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, 58209 + ... + 64479.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2^384688224 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 384688224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

384688224 is an abundant number, since it is smaller than the sum of its proper divisors (753303456).

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

384688224 is a wasteful number, since it uses less digits than its factorization.

384688224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6347 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 384688224 is about 19613.4704731213. The cubic root of 384688224 is about 727.2822092249.

The spelling of 384688224 in words is "three hundred eighty-four million, six hundred eighty-eight thousand, two hundred twenty-four".