3442441064216 has 128 divisors (see below), whose sum is σ = 8245203563520. Its totient is φ = 1308234240000.

The previous prime is 3442441064201. The next prime is 3442441064273. The reversal of 3442441064216 is 6124601442443.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163673621 + ... + 163694651.

It is an arithmetic number, because the mean of its divisors is an integer number (64415652840).

Almost surely, 2^{3442441064216} 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 3442441064216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122601781760).

3442441064216 is an abundant number, since it is smaller than the sum of its proper divisors (4802762499304).

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

3442441064216 is a wasteful number, since it uses less digits than its factorization.

3442441064216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27577 (or 27573 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 3442441064216 in words is "three trillion, four hundred forty-two billion, four hundred forty-one million, sixty-four thousand, two hundred sixteen".