349134431943 has 32 divisors (see below), whose sum is σ = 522117964800. Its totient is φ = 205704536960.

The previous prime is 349134431939. The next prime is 349134431951.

349134431943 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 349134431943 - 2² = 349134431939 is a prime.

It is a super-2 number, since 2×349134431943² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 349134431892 and 349134431901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349134431903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524280 + ... + 986477.

It is an arithmetic number, because the mean of its divisors is an integer number (16316186400).

Almost surely, 2^349134431943 is an apocalyptic number.

349134431943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

349134431943 is a deficient number, since it is larger than the sum of its proper divisors (172983532857).

349134431943 is a wasteful number, since it uses less digits than its factorization.

349134431943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510967.

The product of its digits is 1679616, while the sum is 48.

The spelling of 349134431943 in words is "three hundred forty-nine billion, one hundred thirty-four million, four hundred thirty-one thousand, nine hundred forty-three".