382834732812480 has 1792 divisors, whose sum is σ = 1609323587665920. Its totient is φ = 85830796247040.

The previous prime is 382834732812457. The next prime is 382834732812487. The reversal of 382834732812480 is 84218237438283.

382834732812480 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 3 + 4 + 73 + 2 + 81 + 2 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (382834732812487) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4794563917 + ... + 4794643763.

It is an arithmetic number, because the mean of its divisors is an integer number (898060037760).

Almost surely, 2^{382834732812480} is an apocalyptic number.

382834732812480 is a gapful number since it is divisible by the number (30) 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 382834732812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804661793832960).

382834732812480 is an abundant number, since it is smaller than the sum of its proper divisors (1226488854853440).

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

382834732812480 is a wasteful number, since it uses less digits than its factorization.

382834732812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79946 (or 79918 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 382834732812480 in words is "three hundred eighty-two trillion, eight hundred thirty-four billion, seven hundred thirty-two million, eight hundred twelve thousand, four hundred eighty".