346347206074368 has 1344 divisors, whose sum is σ = 1091811619971072. Its totient is φ = 105566982635520.

The previous prime is 346347206074307. The next prime is 346347206074379. The reversal of 346347206074368 is 863470602743643.

346347206074368 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 472 + 0 + 60 + 7 + 43 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448055893630 + ... + 448055894402.

It is an arithmetic number, because the mean of its divisors is an integer number (812359836288).

Almost surely, 2^{346347206074368} 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 346347206074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545905809985536).

346347206074368 is an abundant number, since it is smaller than the sum of its proper divisors (745464413896704).

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

346347206074368 is a wasteful number, since it uses less digits than its factorization.

346347206074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 63.

The spelling of 346347206074368 in words is "three hundred forty-six trillion, three hundred forty-seven billion, two hundred six million, seventy-four thousand, three hundred sixty-eight".