346368323321328 has 240 divisors, whose sum is σ = 1135695999268224. Its totient is φ = 89950023313920.

The previous prime is 346368323321323. The next prime is 346368323321353. The reversal of 346368323321328 is 823123323863643.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346368323321323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146739351 + ... + 149081097.

Almost surely, 2^{346368323321328} 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 346368323321328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567847999634112).

346368323321328 is an abundant number, since it is smaller than the sum of its proper divisors (789327675946896).

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

346368323321328 is a wasteful number, since it uses less digits than its factorization.

346368323321328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347500 (or 2347487 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 57.

The spelling of 346368323321328 in words is "three hundred forty-six trillion, three hundred sixty-eight billion, three hundred twenty-three million, three hundred twenty-one thousand, three hundred twenty-eight".