3420195288129 has 9 divisors (see below), whose sum is σ = 4940290096833. Its totient is φ = 2280126493332.

The previous prime is 3420195288109. The next prime is 3420195288173. The reversal of 3420195288129 is 9218825910243.

The square root of 3420195288129 is 1849377.

It is a perfect power (a square), and thus also a powerful number.

3420195288129 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 19 + 528 + 81 + 29 = 666.

3420195288129 is digitally balanced in base 3, because in such base 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 (9).

It is not a de Polignac number, because 3420195288129 - 2¹³ = 3420195279937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3420195288109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5239902 + ... + 5856360.

Almost surely, 2^{3420195288129} is an apocalyptic number.

3420195288129 is the 1849377-th square number.

3420195288129 is the 924689-th centered octagonal number.

It is an amenable number.

3420195288129 is a deficient number, since it is larger than the sum of its proper divisors (1520094808704).

3420195288129 is an frugal number, since it uses more digits than its factorization.

3420195288129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232924 (or 616462 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 3420195288129 in words is "three trillion, four hundred twenty billion, one hundred ninety-five million, two hundred eighty-eight thousand, one hundred twenty-nine".