349234509312 has 800 divisors, whose sum is σ = 1196714238720. Its totient is φ = 100508221440.

The previous prime is 349234509251. The next prime is 349234509347. The reversal of 349234509312 is 213905432943.

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, 1055088987 + ... + 1055089317.

Almost surely, 2^349234509312 is an apocalyptic number.

349234509312 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 349234509312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598357119360).

349234509312 is an abundant number, since it is smaller than the sum of its proper divisors (847479729408).

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

349234509312 is a wasteful number, since it uses less digits than its factorization.

349234509312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 349234509312 in words is "three hundred forty-nine billion, two hundred thirty-four million, five hundred nine thousand, three hundred twelve".