349961217920 has 128 divisors (see below), whose sum is σ = 867184220160. Its totient is φ = 134960449536.

The previous prime is 349961217919. The next prime is 349961217971. The reversal of 349961217920 is 29712169943.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928537 + ... + 2102183.

It is an arithmetic number, because the mean of its divisors is an integer number (6774876720).

Almost surely, 2^349961217920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349961217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433592110080).

349961217920 is an abundant number, since it is smaller than the sum of its proper divisors (517223002240).

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

349961217920 is a wasteful number, since it uses less digits than its factorization.

349961217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173780 (or 173768 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 53.

The spelling of 349961217920 in words is "three hundred forty-nine billion, nine hundred sixty-one million, two hundred seventeen thousand, nine hundred twenty".