3544322104160 has 192 divisors, whose sum is σ = 8866537344000. Its totient is φ = 1335144425472.

The previous prime is 3544322104157. The next prime is 3544322104187. The reversal of 3544322104160 is 614012234453.

3544322104160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3544322104160³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3544322104160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933451382 + ... + 933455178.

It is an arithmetic number, because the mean of its divisors is an integer number (46179882000).

Almost surely, 2^{3544322104160} 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 3544322104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433268672000).

3544322104160 is an abundant number, since it is smaller than the sum of its proper divisors (5322215239840).

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

3544322104160 is a wasteful number, since it uses less digits than its factorization.

3544322104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 3544322104160 in words is "three trillion, five hundred forty-four billion, three hundred twenty-two million, one hundred four thousand, one hundred sixty".