349766211 has 32 divisors (see below), whose sum is σ = 512759808. Its totient is φ = 211115520.

The previous prime is 349766159. The next prime is 349766237. The reversal of 349766211 is 112667943.

It is not a de Polignac number, because 349766211 - 2¹⁰ = 349765187 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 349766211.

It is not an unprimeable number, because it can be changed into a prime (349766251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310896 + ... + 312018.

It is an arithmetic number, because the mean of its divisors is an integer number (16023744).

Almost surely, 2^349766211 is an apocalyptic number.

349766211 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

349766211 is a deficient number, since it is larger than the sum of its proper divisors (162993597).

349766211 is a wasteful number, since it uses less digits than its factorization.

349766211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371.

The product of its digits is 54432, while the sum is 39.

The square root of 349766211 is about 18702.0376162599. The cubic root of 349766211 is about 704.5729257871.

The spelling of 349766211 in words is "three hundred forty-nine million, seven hundred sixty-six thousand, two hundred eleven".