34222141043244 has 144 divisors (see below), whose sum is σ = 107927081982720. Its totient is φ = 8882646433920.

The previous prime is 34222141043203. The next prime is 34222141043261. The reversal of 34222141043244 is 44234014122243.

34222141043244 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 214 + 1 + 0 + 432 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34222141043199 and 34222141043208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358494 + ... + 8280869.

It is an arithmetic number, because the mean of its divisors is an integer number (749493624880).

Almost surely, 2^{34222141043244} 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 34222141043244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53963540991360).

34222141043244 is an abundant number, since it is smaller than the sum of its proper divisors (73704940939476).

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

34222141043244 is a wasteful number, since it uses less digits than its factorization.

34222141043244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640820 (or 8640815 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34222141043244 its reverse (44234014122243), we get a palindrome (78456155165487).

The spelling of 34222141043244 in words is "thirty-four trillion, two hundred twenty-two billion, one hundred forty-one million, forty-three thousand, two hundred forty-four".