349207674959360 has 320 divisors, whose sum is σ = 965733003810432. Its totient is φ = 118622884724736.

The previous prime is 349207674959359. The next prime is 349207674959417. The reversal of 349207674959360 is 63959476702943.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5453185262 + ... + 5453249298.

Almost surely, 2^{349207674959360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349207674959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482866501905216).

349207674959360 is an abundant number, since it is smaller than the sum of its proper divisors (616525328851072).

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

349207674959360 is a wasteful number, since it uses less digits than its factorization.

349207674959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66873 (or 66857 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 74.

The spelling of 349207674959360 in words is "three hundred forty-nine trillion, two hundred seven billion, six hundred seventy-four million, nine hundred fifty-nine thousand, three hundred sixty".