349337304960 has 512 divisors, whose sum is σ = 1290170419200. Its totient is φ = 78752120832.

The previous prime is 349337304941. The next prime is 349337304977. The reversal of 349337304960 is 69403733943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566186572 + ... + 566187188.

It is an arithmetic number, because the mean of its divisors is an integer number (2519864100).

Almost surely, 2^349337304960 is an apocalyptic number.

349337304960 is a gapful number since it is divisible by the number (30) 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 349337304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645085209600).

349337304960 is an abundant number, since it is smaller than the sum of its proper divisors (940833114240).

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

349337304960 is a wasteful number, since it uses less digits than its factorization.

349337304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 51.

The spelling of 349337304960 in words is "three hundred forty-nine billion, three hundred thirty-seven million, three hundred four thousand, nine hundred sixty".