382032819168 has 768 divisors, whose sum is σ = 1398104064000. Its totient is φ = 88119705600.

The previous prime is 382032819163. The next prime is 382032819193. The reversal of 382032819168 is 861918230283.

It is a self number, because there is not a number n which added to its sum of digits gives 382032819168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382032819163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 765596583 + ... + 765597081.

It is an arithmetic number, because the mean of its divisors is an integer number (1820448000).

Almost surely, 2^382032819168 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 382032819168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699052032000).

382032819168 is an abundant number, since it is smaller than the sum of its proper divisors (1016071244832).

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

382032819168 is a wasteful number, since it uses less digits than its factorization.

382032819168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 382032819168 in words is "three hundred eighty-two billion, thirty-two million, eight hundred nineteen thousand, one hundred sixty-eight".