3244934504448 has 1176 divisors, whose sum is σ = 12203217595548. Its totient is φ = 854803611648.

The previous prime is 3244934504359. The next prime is 3244934504473. The reversal of 3244934504448 is 8444054394423.

3244934504448 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 93 + 4 + 504 + 4 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2588134477824 + 656800026624 = 1608768^2 + 810432^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3244934504394 and 3244934504403.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3804143190 + ... + 3804144042.

Almost surely, 2^{3244934504448} 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 3244934504448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101608797774).

3244934504448 is an abundant number, since it is smaller than the sum of its proper divisors (8958283091100).

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

3244934504448 is an frugal number, since it uses more digits than its factorization.

3244934504448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 3244934504448 in words is "three trillion, two hundred forty-four billion, nine hundred thirty-four million, five hundred four thousand, four hundred forty-eight".