346338416672 has 24 divisors (see below), whose sum is σ = 681907134636. Its totient is φ = 173155652352.

The previous prime is 346338416657. The next prime is 346338416687. The reversal of 346338416672 is 276614833643.

It is an interprime number because it is at equal distance from previous prime (346338416657) and next prime (346338416687).

It can be written as a sum of positive squares in 2 ways, for example, as 345748704016 + 589712656 = 588004^2 + 24284^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2003 + ... + 832274.

Almost surely, 2^346338416672 is an apocalyptic number.

346338416672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

346338416672 is a deficient number, since it is larger than the sum of its proper divisors (335568717964).

346338416672 is a wasteful number, since it uses less digits than its factorization.

346338416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847260 (or 847252 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 53.

The spelling of 346338416672 in words is "three hundred forty-six billion, three hundred thirty-eight million, four hundred sixteen thousand, six hundred seventy-two".