349965108912 has 90 divisors (see below), whose sum is σ = 914041773252. Its totient is φ = 115383111552.

The previous prime is 349965108881. The next prime is 349965108919. The reversal of 349965108912 is 219801569943.

349965108912 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (349965108919) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 422152914 + ... + 422153742.

Almost surely, 2^349965108912 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 349965108912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457020886626).

349965108912 is an abundant number, since it is smaller than the sum of its proper divisors (564076664340).

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

349965108912 is an frugal number, since it uses more digits than its factorization.

349965108912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 349965108912 in words is "three hundred forty-nine billion, nine hundred sixty-five million, one hundred eight thousand, nine hundred twelve".