349750920312 has 192 divisors, whose sum is σ = 1008449544960. Its totient is φ = 109311897600.

The previous prime is 349750920293. The next prime is 349750920317. The reversal of 349750920312 is 213029057943.

349750920312 is a `hidden beast` number, since 3 + 4 + 97 + 509 + 20 + 31 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349750920317) 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 47 ways as a sum of consecutive naturals, for example, 19893958 + ... + 19911530.

It is an arithmetic number, because the mean of its divisors is an integer number (5252341380).

Almost surely, 2^349750920312 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 349750920312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504224772480).

349750920312 is an abundant number, since it is smaller than the sum of its proper divisors (658698624648).

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

349750920312 is a wasteful number, since it uses less digits than its factorization.

349750920312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17894 (or 17887 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 349750920312 in words is "three hundred forty-nine billion, seven hundred fifty million, nine hundred twenty thousand, three hundred twelve".