3126414036429 has 24 divisors (see below), whose sum is σ = 4518423661752. Its totient is φ = 2083126095360.

The previous prime is 3126414036413. The next prime is 3126414036433. The reversal of 3126414036429 is 9246304146213.

3126414036429 is a `hidden beast` number, since 3 + 1 + 264 + 1 + 4 + 0 + 364 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88626480804 + 3037787555625 = 297702^2 + 1742925^2 .

It is not a de Polignac number, because 3126414036429 - 2⁴ = 3126414036413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126414036479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148745929 + ... + 148766945.

It is an arithmetic number, because the mean of its divisors is an integer number (188267652573).

Almost surely, 2^{3126414036429} is an apocalyptic number.

It is an amenable number.

3126414036429 is a deficient number, since it is larger than the sum of its proper divisors (1392009625323).

3126414036429 is a wasteful number, since it uses less digits than its factorization.

3126414036429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357 (or 29354 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3126414036429 in words is "three trillion, one hundred twenty-six billion, four hundred fourteen million, thirty-six thousand, four hundred twenty-nine".