349335733127 has 16 divisors (see below), whose sum is σ = 373121337600. Its totient is φ = 326337553920.

The previous prime is 349335733067. The next prime is 349335733129. The reversal of 349335733127 is 721337533943.

It is a cyclic number.

It is not a de Polignac number, because 349335733127 - 2¹⁰ = 349335732103 is a prime.

It is a super-3 number, since 3×349335733127³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349335733129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4290149 + ... + 4370817.

It is an arithmetic number, because the mean of its divisors is an integer number (23320083600).

Almost surely, 2^349335733127 is an apocalyptic number.

349335733127 is a deficient number, since it is larger than the sum of its proper divisors (23785604473).

349335733127 is a wasteful number, since it uses less digits than its factorization.

349335733127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85546.

The product of its digits is 4286520, while the sum is 50.

The spelling of 349335733127 in words is "three hundred forty-nine billion, three hundred thirty-five million, seven hundred thirty-three thousand, one hundred twenty-seven".