3144264129 has 32 divisors (see below), whose sum is σ = 4936377600. Its totient is φ = 1974510720.

The previous prime is 3144264127. The next prime is 3144264133. The reversal of 3144264129 is 9214624413.

3144264129 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 2 + 641 + 2 + 9 = 666.

It is not a de Polignac number, because 3144264129 - 2¹ = 3144264127 is a prime.

It is a super-2 number, since 2×3144264129² = 19772793825832257282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3144264093 and 3144264102.

It is not an unprimeable number, because it can be changed into a prime (3144264127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16869 + ... + 81074.

It is an arithmetic number, because the mean of its divisors is an integer number (154261800).

Almost surely, 2^3144264129 is an apocalyptic number.

It is an amenable number.

3144264129 is a deficient number, since it is larger than the sum of its proper divisors (1792113471).

3144264129 is a wasteful number, since it uses less digits than its factorization.

3144264129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98022 (or 98016 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3144264129 is about 56073.7383183964. The cubic root of 3144264129 is about 1465.0069119485.

The spelling of 3144264129 in words is "three billion, one hundred forty-four million, two hundred sixty-four thousand, one hundred twenty-nine".