382352517120 has 768 divisors, whose sum is σ = 1440140083200. Its totient is φ = 84804894720.

The previous prime is 382352517101. The next prime is 382352517137. The reversal of 382352517120 is 21715253283.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1206159202 + ... + 1206159518.

It is an arithmetic number, because the mean of its divisors is an integer number (1875182400).

Almost surely, 2^382352517120 is an apocalyptic number.

382352517120 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 382352517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720070041600).

382352517120 is an abundant number, since it is smaller than the sum of its proper divisors (1057787566080).

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

382352517120 is a wasteful number, since it uses less digits than its factorization.

382352517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 382352517120 in words is "three hundred eighty-two billion, three hundred fifty-two million, five hundred seventeen thousand, one hundred twenty".