346368768 has 72 divisors (see below), whose sum is σ = 924607488. Its totient is φ = 115110912.

The previous prime is 346368733. The next prime is 346368769. The reversal of 346368768 is 867863643.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 346368768.

It is not an unprimeable number, because it can be changed into a prime (346368769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465805 + ... + 466547.

Almost surely, 2^346368768 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 346368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462303744).

346368768 is an abundant number, since it is smaller than the sum of its proper divisors (578238720).

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

346368768 is an equidigital number, since it uses as much as digits as its factorization.

346368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 346368768 is about 18610.9851431890. The cubic root of 346368768 is about 702.2842170219.

The spelling of 346368768 in words is "three hundred forty-six million, three hundred sixty-eight thousand, seven hundred sixty-eight".