3442441063516 has 192 divisors, whose sum is σ = 7937345654784. Its totient is φ = 1267620249600.

The previous prime is 3442441063507. The next prime is 3442441063541. The reversal of 3442441063516 is 6153601442443.

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 63 ways as a sum of consecutive naturals, for example, 424412301 + ... + 424420411.

It is an arithmetic number, because the mean of its divisors is an integer number (41340341952).

Almost surely, 2^{3442441063516} 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 3442441063516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968672827392).

3442441063516 is an abundant number, since it is smaller than the sum of its proper divisors (4494904591268).

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

3442441063516 is a wasteful number, since it uses less digits than its factorization.

3442441063516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 3442441063516 in words is "three trillion, four hundred forty-two billion, four hundred forty-one million, sixty-three thousand, five hundred sixteen".