384680088576 has 528 divisors, whose sum is σ = 1322954156160. Its totient is φ = 109366640640.

The previous prime is 384680088547. The next prime is 384680088593. The reversal of 384680088576 is 675880086483.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468550246 + ... + 468551066.

Almost surely, 2^384680088576 is an apocalyptic number.

384680088576 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 384680088576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661477078080).

384680088576 is an abundant number, since it is smaller than the sum of its proper divisors (938274067584).

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

384680088576 is an equidigital number, since it uses as much as digits as its factorization.

384680088576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 384680088576 in words is "three hundred eighty-four billion, six hundred eighty million, eighty-eight thousand, five hundred seventy-six".