349275846258 has 128 divisors (see below), whose sum is σ = 794823321600. Its totient is φ = 113666193216.

The previous prime is 349275846253. The next prime is 349275846277. The reversal of 349275846258 is 852648572943.

349275846258 is a `hidden beast` number, since 3 + 4 + 9 + 27 + 584 + 6 + 25 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349275846195 and 349275846204.

It is not an unprimeable number, because it can be changed into a prime (349275846251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255504691 + ... + 255506057.

It is an arithmetic number, because the mean of its divisors is an integer number (6209557200).

Almost surely, 2^349275846258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349275846258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397411660800).

349275846258 is an abundant number, since it is smaller than the sum of its proper divisors (445547475342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349275846258 is a wasteful number, since it uses less digits than its factorization.

349275846258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2087 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 349275846258 in words is "three hundred forty-nine billion, two hundred seventy-five million, eight hundred forty-six thousand, two hundred fifty-eight".