3144245200 has 120 divisors (see below), whose sum is σ = 8215235352. Its totient is φ = 1151631360.

The previous prime is 3144245179. The next prime is 3144245207. The reversal of 3144245200 is 25424413.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 63107136 + 3081138064 = 7944^2 + 55508^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144245207) 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 23 ways as a sum of consecutive naturals, for example, 245352 + ... + 257848.

Almost surely, 2^3144245200 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 3144245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107617676).

3144245200 is an abundant number, since it is smaller than the sum of its proper divisors (5070990152).

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

3144245200 is a wasteful number, since it uses less digits than its factorization.

3144245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3144245200 is about 56073.5695314646. The cubic root of 3144245200 is about 1465.0039720798.

Adding to 3144245200 its reverse (25424413), we get a palindrome (3169669613).

The spelling of 3144245200 in words is "three billion, one hundred forty-four million, two hundred forty-five thousand, two hundred".