349895398833 has 24 divisors (see below), whose sum is σ = 536065838880. Its totient is φ = 219299633280.

The previous prime is 349895398739. The next prime is 349895398841. The reversal of 349895398833 is 338893598943.

349895398833 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 9 + 539 + 8 + 83 + 3 = 666.

It is not a de Polignac number, because 349895398833 - 2¹³ = 349895390641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349895398033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7787416 + ... + 7832217.

It is an arithmetic number, because the mean of its divisors is an integer number (22336076620).

Almost surely, 2^349895398833 is an apocalyptic number.

It is an amenable number.

349895398833 is a deficient number, since it is larger than the sum of its proper divisors (186170440047).

349895398833 is a wasteful number, since it uses less digits than its factorization.

349895398833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15619789 (or 15619786 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 349895398833 in words is "three hundred forty-nine billion, eight hundred ninety-five million, three hundred ninety-eight thousand, eight hundred thirty-three".