349543960416000 has 1728 divisors, whose sum is σ = 1525357032815616. Its totient is φ = 78037198848000.

The previous prime is 349543960415999. The next prime is 349543960416031. The reversal of 349543960416000 is 614069345943.

It is a happy number.

349543960416000 is a `hidden beast` number, since 3 + 4 + 9 + 543 + 96 + 0 + 4 + 1 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2340501330 + ... + 2340650670.

Almost surely, 2^{349543960416000} is an apocalyptic number.

349543960416000 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 349543960416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762678516407808).

349543960416000 is an abundant number, since it is smaller than the sum of its proper divisors (1175813072399616).

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

349543960416000 is an equidigital number, since it uses as much as digits as its factorization.

349543960416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149437 (or 149401 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 349543960416000 in words is "three hundred forty-nine trillion, five hundred forty-three billion, nine hundred sixty million, four hundred sixteen thousand".