343222101072000 has 384 divisors, whose sum is σ = 1245303600231600. Its totient is φ = 90582324019200.

The previous prime is 343222101071953. The next prime is 343222101072001. The reversal of 343222101072000 is 270101222343.

343222101072000 is a `hidden beast` number, since 3 + 4 + 322 + 210 + 107 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43699820821056 + 299522280250944 = 6610584^2 + 17306712^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (343222101072001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1681986 + ... + 26254014.

Almost surely, 2^{343222101072000} is an apocalyptic number.

343222101072000 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 343222101072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622651800115800).

343222101072000 is an abundant number, since it is smaller than the sum of its proper divisors (902081499159600).

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

343222101072000 is a wasteful number, since it uses less digits than its factorization.

343222101072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24572161 (or 24572136 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 343222101072000 its reverse (270101222343), we get a palindrome (343492202294343).

The spelling of 343222101072000 in words is "three hundred forty-three trillion, two hundred twenty-two billion, one hundred one million, seventy-two thousand".