349097917608 has 384 divisors, whose sum is σ = 1131017472000. Its totient is φ = 98921917440.

The previous prime is 349097917559. The next prime is 349097917631. The reversal of 349097917608 is 806719790943.

349097917608 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 9 + 7 + 9 + 17 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111924673 + ... + 111927791.

It is an arithmetic number, because the mean of its divisors is an integer number (2945358000).

Almost surely, 2^349097917608 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 349097917608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565508736000).

349097917608 is an abundant number, since it is smaller than the sum of its proper divisors (781919554392).

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

349097917608 is a wasteful number, since it uses less digits than its factorization.

349097917608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 349097917608 in words is "three hundred forty-nine billion, ninety-seven million, nine hundred seventeen thousand, six hundred eight".