3444513283600 has 135 divisors (see below), whose sum is σ = 8400067308301. Its totient is φ = 1357360278400.

The previous prime is 3444513283579. The next prime is 3444513283639. The reversal of 3444513283600 is 63823154443.

The square root of 3444513283600 is 1855940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1240024782096 + 2204488501504 = 1113564^2 + 1484752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2635434147 + ... + 2635435453.

Almost surely, 2^{3444513283600} is an apocalyptic number.

3444513283600 is the 1855940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444513283600

3444513283600 is an abundant number, since it is smaller than the sum of its proper divisors (4955554024701).

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

3444513283600 is an frugal number, since it uses more digits than its factorization.

3444513283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 1385 counting only the distinct ones).

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

The spelling of 3444513283600 in words is "three trillion, four hundred forty-four billion, five hundred thirteen million, two hundred eighty-three thousand, six hundred".