349468838409599 has 8 divisors (see below), whose sum is σ = 361519904680560. Its totient is φ = 337417799916736.

The previous prime is 349468838409553. The next prime is 349468838409617. The reversal of 349468838409599 is 995904838864943.

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

It is a cyclic number.

It is not a de Polignac number, because 349468838409599 - 2³² = 349464543442303 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 (349468838409539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20487452 + ... + 33446574.

It is an arithmetic number, because the mean of its divisors is an integer number (45189988085070).

Almost surely, 2^{349468838409599} is an apocalyptic number.

349468838409599 is a deficient number, since it is larger than the sum of its proper divisors (12051066270961).

349468838409599 is a wasteful number, since it uses less digits than its factorization.

349468838409599 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13889049.

The product of its (nonzero) digits is 58047528960, while the sum is 89.

The spelling of 349468838409599 in words is "three hundred forty-nine trillion, four hundred sixty-eight billion, eight hundred thirty-eight million, four hundred nine thousand, five hundred ninety-nine".