349267787762943 has 16 divisors (see below), whose sum is σ = 546601840309760. Its totient is φ = 194187495898656.

The previous prime is 349267787762903. The next prime is 349267787763001.

349267787762943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 349267787762943 - 2¹² = 349267787758847 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349267787762903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224754045403 + ... + 224754046956.

It is an arithmetic number, because the mean of its divisors is an integer number (34162615019360).

Almost surely, 2^{349267787762943} is an apocalyptic number.

349267787762943 is a deficient number, since it is larger than the sum of its proper divisors (197334052546817).

349267787762943 is a wasteful number, since it uses less digits than its factorization.

349267787762943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449508092406.

The product of its digits is 32262064128, while the sum is 84.

The spelling of 349267787762943 in words is "three hundred forty-nine trillion, two hundred sixty-seven billion, seven hundred eighty-seven million, seven hundred sixty-two thousand, nine hundred forty-three".