346997570982912 has 352 divisors, whose sum is σ = 1029010975977600. Its totient is φ = 115511559192576.

The previous prime is 346997570982847. The next prime is 346997570982947. The reversal of 346997570982912 is 219289075799643.

346997570982912 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 9 + 7 + 570 + 9 + 8 + 29 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108335175103 + ... + 108335178305.

It is an arithmetic number, because the mean of its divisors is an integer number (2923326636300).

It is a 1-persistent number, because it is pandigital, but 2⋅346997570982912 = 693995141965824 is not.

Almost surely, 2^{346997570982912} is an apocalyptic number.

346997570982912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346997570982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514505487988800).

346997570982912 is an abundant number, since it is smaller than the sum of its proper divisors (682013404994688).

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

346997570982912 is a wasteful number, since it uses less digits than its factorization.

346997570982912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 346997570982912 in words is "three hundred forty-six trillion, nine hundred ninety-seven billion, five hundred seventy million, nine hundred eighty-two thousand, nine hundred twelve".