382347082416 has 320 divisors, whose sum is σ = 1195213501440. Its totient is φ = 104111800320.

The previous prime is 382347082391. The next prime is 382347082417. The reversal of 382347082416 is 614280743283.

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

It is not an unprimeable number, because it can be changed into a prime (382347082417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14381776 + ... + 14408336.

It is an arithmetic number, because the mean of its divisors is an integer number (3735042192).

Almost surely, 2^382347082416 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 382347082416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597606750720).

382347082416 is an abundant number, since it is smaller than the sum of its proper divisors (812866419024).

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

382347082416 is a wasteful number, since it uses less digits than its factorization.

382347082416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26684 (or 26678 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 382347082416 in words is "three hundred eighty-two billion, three hundred forty-seven million, eighty-two thousand, four hundred sixteen".