3144187200 has 672 divisors, whose sum is σ = 13207154688. Its totient is φ = 635904000.

The previous prime is 3144187187. The next prime is 3144187201. The reversal of 3144187200 is 27814413.

3144187200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144187201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17371110 + ... + 17371290.

It is an arithmetic number, because the mean of its divisors is an integer number (19653504).

Almost surely, 2^3144187200 is an apocalyptic number.

3144187200 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 3144187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603577344).

3144187200 is an abundant number, since it is smaller than the sum of its proper divisors (10062967488).

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

3144187200 is a wasteful number, since it uses less digits than its factorization.

3144187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3144187200 is about 56073.0523513746. The cubic root of 3144187200 is about 1464.9949640087.

The spelling of 3144187200 in words is "three billion, one hundred forty-four million, one hundred eighty-seven thousand, two hundred".