3441279996000 has 1728 divisors, whose sum is σ = 15735896676864. Its totient is φ = 704132352000.

The previous prime is 3441279995971. The next prime is 3441279996023. The reversal of 3441279996000 is 6999721443.

3441279996000 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 27 + 9 + 9 + 9 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1300066677 + ... + 1300069323.

It is an arithmetic number, because the mean of its divisors is an integer number (9106421688).

Almost surely, 2^{3441279996000} is an apocalyptic number.

3441279996000 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 3441279996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867948338432).

3441279996000 is an abundant number, since it is smaller than the sum of its proper divisors (12294616680864).

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

3441279996000 is a wasteful number, since it uses less digits than its factorization.

3441279996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3441279996000 in words is "three trillion, four hundred forty-one billion, two hundred seventy-nine million, nine hundred ninety-six thousand".