384835968 has 256 divisors, whose sum is σ = 1269043200. Its totient is φ = 113817600.

The previous prime is 384835967. The next prime is 384835981. The reversal of 384835968 is 869538483.

It is a happy number.

384835968 is a `hidden beast` number, since 3 + 8 + 48 + 3 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384835967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014753 + ... + 2014943.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2^384835968 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 384835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634521600).

384835968 is an abundant number, since it is smaller than the sum of its proper divisors (884207232).

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

384835968 is a wasteful number, since it uses less digits than its factorization.

384835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 384835968 is about 19617.2365026270. The cubic root of 384835968 is about 727.3753043800.

The spelling of 384835968 in words is "three hundred eighty-four million, eight hundred thirty-five thousand, nine hundred sixty-eight".