349961284200 has 192 divisors, whose sum is σ = 1184349196800. Its totient is φ = 84778617600.

The previous prime is 349961284193. The next prime is 349961284223. The reversal of 349961284200 is 2482169943.

It is a self number, because there is not a number n which added to its sum of digits gives 349961284200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9611229 + ... + 9647571.

It is an arithmetic number, because the mean of its divisors is an integer number (6168485400).

Almost surely, 2^349961284200 is an apocalyptic number.

349961284200 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 349961284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592174598400).

349961284200 is an abundant number, since it is smaller than the sum of its proper divisors (834387912600).

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

349961284200 is a wasteful number, since it uses less digits than its factorization.

349961284200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37832 (or 37823 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 349961284200 in words is "three hundred forty-nine billion, nine hundred sixty-one million, two hundred eighty-four thousand, two hundred".