382716373632 has 128 divisors (see below), whose sum is σ = 1066588638720. Its totient is φ = 121432780800.

The previous prime is 382716373579. The next prime is 382716373639. The reversal of 382716373632 is 236373617283.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (382716373639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462618 + ... + 989670.

It is an arithmetic number, because the mean of its divisors is an integer number (8332723740).

Almost surely, 2^382716373632 is an apocalyptic number.

382716373632 is a gapful number since it is divisible by the number (32) 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 382716373632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533294319360).

382716373632 is an abundant number, since it is smaller than the sum of its proper divisors (683872265088).

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

382716373632 is a wasteful number, since it uses less digits than its factorization.

382716373632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527162 (or 527150 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 51.

The spelling of 382716373632 in words is "three hundred eighty-two billion, seven hundred sixteen million, three hundred seventy-three thousand, six hundred thirty-two".