382088071344 has 160 divisors (see below), whose sum is σ = 1167966673920. Its totient is φ = 105313453056.

The previous prime is 382088071327. The next prime is 382088071369. The reversal of 382088071344 is 443170880283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 382088071293 and 382088071302.

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, 11803309 + ... + 11835635.

It is an arithmetic number, because the mean of its divisors is an integer number (7299791712).

Almost surely, 2^382088071344 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 382088071344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583983336960).

382088071344 is an abundant number, since it is smaller than the sum of its proper divisors (785878602576).

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

382088071344 is a wasteful number, since it uses less digits than its factorization.

382088071344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33587 (or 33581 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 382088071344 in words is "three hundred eighty-two billion, eighty-eight million, seventy-one thousand, three hundred forty-four".