3144129120 has 576 divisors, whose sum is σ = 12755957760. Its totient is φ = 696729600.

The previous prime is 3144129113. The next prime is 3144129143. The reversal of 3144129120 is 219214413.

It is a happy number.

3144129120 is a `hidden beast` number, since 314 + 41 + 291 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9329592 + ... + 9329928.

It is an arithmetic number, because the mean of its divisors is an integer number (22145760).

Almost surely, 2^3144129120 is an apocalyptic number.

3144129120 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 3144129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377978880).

3144129120 is an abundant number, since it is smaller than the sum of its proper divisors (9611828640).

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

3144129120 is a wasteful number, since it uses less digits than its factorization.

3144129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3144129120 is about 56072.5344531527. The cubic root of 3144129120 is about 1464.9859434016.

The spelling of 3144129120 in words is "three billion, one hundred forty-four million, one hundred twenty-nine thousand, one hundred twenty".