384460034688 has 256 divisors, whose sum is σ = 1150755840000. Its totient is φ = 126350171136.

The previous prime is 384460034657. The next prime is 384460034729. The reversal of 384460034688 is 886430064483.

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

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, 85074093 + ... + 85078611.

It is an arithmetic number, because the mean of its divisors is an integer number (4495140000).

Almost surely, 2^384460034688 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 384460034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575377920000).

384460034688 is an abundant number, since it is smaller than the sum of its proper divisors (766295805312).

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

384460034688 is a wasteful number, since it uses less digits than its factorization.

384460034688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 384460034688 in words is "three hundred eighty-four billion, four hundred sixty million, thirty-four thousand, six hundred eighty-eight".