3144082200336 has 1215 divisors, whose sum is σ = 11992789703349. Its totient is φ = 766003392000.

The previous prime is 3144082200331. The next prime is 3144082200367. The reversal of 3144082200336 is 6330022804413.

The square root of 3144082200336 is 1773156.

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

3144082200336 is a `hidden beast` number, since 3 + 1 + 4 + 40 + 82 + 200 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3020796945936 + 123285254400 = 1738044^2 + 351120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3144082200336.

It is not an unprimeable number, because it can be changed into a prime (3144082200331) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 31129526686 + ... + 31129526786.

Almost surely, 2^{3144082200336} is an apocalyptic number.

3144082200336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3144082200336 is the 1773156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144082200336

3144082200336 is an abundant number, since it is smaller than the sum of its proper divisors (8848707503013).

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

3144082200336 is a wasteful number, since it uses less digits than its factorization.

3144082200336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 3144082200336 by its sum of digits (36), we get a square (113186959212096 = 10638936²).

3144082200336 divided by its sum of digits (36) gives a square (87335616676 = 295526²).

The spelling of 3144082200336 in words is "three trillion, one hundred forty-four billion, eighty-two million, two hundred thousand, three hundred thirty-six".