349883306311 has 24 divisors (see below), whose sum is σ = 454333549824. Its totient is φ = 266295944880.

The previous prime is 349883306263. The next prime is 349883306347. The reversal of 349883306311 is 113603388943.

It is not a de Polignac number, because 349883306311 - 2³³ = 341293371719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349883301311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7524895 + ... + 7571248.

It is an arithmetic number, because the mean of its divisors is an integer number (18930564576).

Almost surely, 2^349883306311 is an apocalyptic number.

349883306311 is a deficient number, since it is larger than the sum of its proper divisors (104450243513).

349883306311 is a wasteful number, since it uses less digits than its factorization.

349883306311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15096211 (or 15096204 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 349883306311 in words is "three hundred forty-nine billion, eight hundred eighty-three million, three hundred six thousand, three hundred eleven".