349105353 has 36 divisors (see below), whose sum is σ = 512149680. Its totient is φ = 211474560.

The previous prime is 349105349. The next prime is 349105381. The reversal of 349105353 is 353501943.

It is not a de Polignac number, because 349105353 - 2² = 349105349 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349105303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832978 + ... + 833396.

It is an arithmetic number, because the mean of its divisors is an integer number (14226380).

Almost surely, 2^349105353 is an apocalyptic number.

It is an amenable number.

349105353 is a deficient number, since it is larger than the sum of its proper divisors (163044327).

349105353 is a wasteful number, since it uses less digits than its factorization.

349105353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 349105353 is about 18684.3611879026. The cubic root of 349105353 is about 704.1288994617.

The spelling of 349105353 in words is "three hundred forty-nine million, one hundred five thousand, three hundred fifty-three".