3441676344000 has 224 divisors, whose sum is σ = 11421538752000. Its totient is φ = 913167129600.

The previous prime is 3441676343993. The next prime is 3441676344017. The reversal of 3441676344000 is 4436761443.

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 31 ways as a sum of consecutive naturals, for example, 4415691 + ... + 5136309.

Almost surely, 2^{3441676344000} is an apocalyptic number.

3441676344000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441676344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710769376000).

3441676344000 is an abundant number, since it is smaller than the sum of its proper divisors (7979862408000).

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

3441676344000 is a wasteful number, since it uses less digits than its factorization.

3441676344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720848 (or 720828 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 3441676344000 in words is "three trillion, four hundred forty-one billion, six hundred seventy-six million, three hundred forty-four thousand".