384296932656 has 600 divisors, whose sum is σ = 1408047379200. Its totient is φ = 100287258624.

The previous prime is 384296932633. The next prime is 384296932687. The reversal of 384296932656 is 656239692483.

384296932656 is a `hidden beast` number, since 3 + 84 + 296 + 9 + 3 + 265 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 384296932593 and 384296932602.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80076145 + ... + 80080943.

It is an arithmetic number, because the mean of its divisors is an integer number (2346745632).

Almost surely, 2^384296932656 is an apocalyptic number.

384296932656 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 384296932656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704023689600).

384296932656 is an abundant number, since it is smaller than the sum of its proper divisors (1023750446544).

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

384296932656 is a wasteful number, since it uses less digits than its factorization.

384296932656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4921 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 384296932656 in words is "three hundred eighty-four billion, two hundred ninety-six million, nine hundred thirty-two thousand, six hundred fifty-six".