349048922112 has 1120 divisors, whose sum is σ = 1258867098720. Its totient is φ = 95126814720.

The previous prime is 349048922051. The next prime is 349048922137. The reversal of 349048922112 is 211229840943.

349048922112 is a `hidden beast` number, since 3 + 490 + 48 + 9 + 2 + 2 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3598442448 + ... + 3598442544.

It is an arithmetic number, because the mean of its divisors is an integer number (1123988481).

Almost surely, 2^349048922112 is an apocalyptic number.

349048922112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349048922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629433549360).

349048922112 is an abundant number, since it is smaller than the sum of its proper divisors (909818176608).

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

349048922112 is a wasteful number, since it uses less digits than its factorization.

349048922112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 349048922112 in words is "three hundred forty-nine billion, forty-eight million, nine hundred twenty-two thousand, one hundred twelve".