349137031344000 has 512 divisors, whose sum is σ = 1278752395714560. Its totient is φ = 83816694579200.

The previous prime is 349137031343963. The next prime is 349137031344029. The reversal of 349137031344000 is 443130731943.

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, 9466609 + ... + 28069391.

It is an arithmetic number, because the mean of its divisors is an integer number (2497563272880).

Almost surely, 2^{349137031344000} is an apocalyptic number.

349137031344000 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 349137031344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639376197857280).

349137031344000 is an abundant number, since it is smaller than the sum of its proper divisors (929615364370560).

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

349137031344000 is a wasteful number, since it uses less digits than its factorization.

349137031344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18602855 (or 18602833 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 349137031344000 in words is "three hundred forty-nine trillion, one hundred thirty-seven billion, thirty-one million, three hundred forty-four thousand".