349180406748264 has 512 divisors, whose sum is σ = 1100463501312000. Its totient is φ = 89876858093568.

The previous prime is 349180406748259. The next prime is 349180406748311. The reversal of 349180406748264 is 462847604081943.

It is a junction number, because it is equal to n+sod(n) for n = 349180406748195 and 349180406748204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27028432797 + ... + 27028445715.

It is an arithmetic number, because the mean of its divisors is an integer number (2149342776000).

Almost surely, 2^{349180406748264} 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 349180406748264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550231750656000).

349180406748264 is an abundant number, since it is smaller than the sum of its proper divisors (751283094563736).

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

349180406748264 is a wasteful number, since it uses less digits than its factorization.

349180406748264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 66.

The spelling of 349180406748264 in words is "three hundred forty-nine trillion, one hundred eighty billion, four hundred six million, seven hundred forty-eight thousand, two hundred sixty-four".