3144430200 has 192 divisors, whose sum is σ = 10093104000. Its totient is φ = 809187840.

The previous prime is 3144430199. The next prime is 3144430249. The reversal of 3144430200 is 20344413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3085291 + ... + 3086309.

It is an arithmetic number, because the mean of its divisors is an integer number (52568250).

Almost surely, 2^3144430200 is an apocalyptic number.

3144430200 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 3144430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046552000).

3144430200 is an abundant number, since it is smaller than the sum of its proper divisors (6948673800).

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

3144430200 is a wasteful number, since it uses less digits than its factorization.

3144430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3144430200 is about 56075.2191257422. The cubic root of 3144430200 is about 1465.0327039801.

Adding to 3144430200 its reverse (20344413), we get a palindrome (3164774613).

The spelling of 3144430200 in words is "three billion, one hundred forty-four million, four hundred thirty thousand, two hundred".