3442644206200 has 192 divisors, whose sum is σ = 8296133076000. Its totient is φ = 1327968000000.

The previous prime is 3442644206167. The next prime is 3442644206227. The reversal of 3442644206200 is 26024462443.

It is a self number, because there is not a number n which added to its sum of digits gives 3442644206200.

It is a congruent number.

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, 129892950 + ... + 129919450.

Almost surely, 2^{3442644206200} 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 3442644206200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148066538000).

3442644206200 is an abundant number, since it is smaller than the sum of its proper divisors (4853488869800).

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

3442644206200 is a wasteful number, since it uses less digits than its factorization.

3442644206200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26786 (or 26777 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 3442644206200 its reverse (26024462443), we get a palindrome (3468668668643).

The spelling of 3442644206200 in words is "three trillion, four hundred forty-two billion, six hundred forty-four million, two hundred six thousand, two hundred".