349013334393234 has 192 divisors, whose sum is σ = 905762783882880. Its totient is φ = 99325923096960.

The previous prime is 349013334393221. The next prime is 349013334393263. The reversal of 349013334393234 is 432393433310943.

349013334393234 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 13 + 3 + 3 + 4 + 393 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1498495929 + ... + 1498728819.

It is an arithmetic number, because the mean of its divisors is an integer number (4717514499390).

Almost surely, 2^{349013334393234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349013334393234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452881391941440).

349013334393234 is an abundant number, since it is smaller than the sum of its proper divisors (556749449489646).

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

349013334393234 is a wasteful number, since it uses less digits than its factorization.

349013334393234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235142 (or 235129 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 54.

The spelling of 349013334393234 in words is "three hundred forty-nine trillion, thirteen billion, three hundred thirty-four million, three hundred ninety-three thousand, two hundred thirty-four".