349807579329 has 8 divisors (see below), whose sum is σ = 502287806272. Its totient is φ = 215266202640.

The previous prime is 349807579273. The next prime is 349807579333. The reversal of 349807579329 is 923975708943.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 349807579329 - 2¹⁶ = 349807513793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 349807579329.

It is not an unprimeable number, because it can be changed into a prime (349807579399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4484712517 + ... + 4484712594.

It is an arithmetic number, because the mean of its divisors is an integer number (62785975784).

Almost surely, 2^349807579329 is an apocalyptic number.

349807579329 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

349807579329 is a deficient number, since it is larger than the sum of its proper divisors (152480226943).

349807579329 is a wasteful number, since it uses less digits than its factorization.

349807579329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969425127.

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 349807579329 in words is "three hundred forty-nine billion, eight hundred seven million, five hundred seventy-nine thousand, three hundred twenty-nine".