3144211200 has 972 divisors, whose sum is σ = 13566866040. Its totient is φ = 690094080.

The previous prime is 3144211199. The next prime is 3144211207. The reversal of 3144211200 is 21124413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144211207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 165484791 + ... + 165484809.

Almost surely, 2^3144211200 is an apocalyptic number.

3144211200 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 3144211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783433020).

3144211200 is an abundant number, since it is smaller than the sum of its proper divisors (10422654840).

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

3144211200 is a wasteful number, since it uses less digits than its factorization.

3144211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3144211200 is about 56073.2663575077. The cubic root of 3144211200 is about 1464.9986914998.

Adding to 3144211200 its reverse (21124413), we get a palindrome (3165335613).

The spelling of 3144211200 in words is "three billion, one hundred forty-four million, two hundred eleven thousand, two hundred".