3344544072100 has 216 divisors, whose sum is σ = 9329096135744. Its totient is φ = 1018211040000.

The previous prime is 3344544072071. The next prime is 3344544072119. The reversal of 3344544072100 is 12704454433.

It is a super-2 number, since 2×3344544072100² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3344544072100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182950 + ... + 4101250.

Almost surely, 2^{3344544072100} 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 3344544072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664548067872).

3344544072100 is an abundant number, since it is smaller than the sum of its proper divisors (5984552063644).

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

3344544072100 is a wasteful number, since it uses less digits than its factorization.

3344544072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918387 (or 918369 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 3344544072100 in words is "three trillion, three hundred forty-four billion, five hundred forty-four million, seventy-two thousand, one hundred".