3144044324300 has 288 divisors, whose sum is σ = 7643353294080. Its totient is φ = 1113012633600.

The previous prime is 3144044324293. The next prime is 3144044324329. The reversal of 3144044324300 is 34234404413.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1991160911 + ... + 1991162489.

It is an arithmetic number, because the mean of its divisors is an integer number (26539421160).

Almost surely, 2^{3144044324300} 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 3144044324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821676647040).

3144044324300 is an abundant number, since it is smaller than the sum of its proper divisors (4499308969780).

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

3144044324300 is a wasteful number, since it uses less digits than its factorization.

3144044324300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 3144044324300 its reverse (34234404413), we get a palindrome (3178278728713).

The spelling of 3144044324300 in words is "three trillion, one hundred forty-four billion, forty-four million, three hundred twenty-four thousand, three hundred".