3431020342401 has 6 divisors (see below), whose sum is σ = 4955918272370. Its totient is φ = 2287346894928.

The previous prime is 3431020342367. The next prime is 3431020342417. The reversal of 3431020342401 is 1042430201343.

3431020342401 is a `hidden beast` number, since 3 + 4 + 3 + 10 + 203 + 42 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3062328502401 + 368691840000 = 1749951^2 + 607200^2 .

It is not a de Polignac number, because 3431020342401 - 2¹⁷ = 3431020211329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3431020342501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190612241236 + ... + 190612241253.

Almost surely, 2^{3431020342401} is an apocalyptic number.

It is an amenable number.

3431020342401 is a deficient number, since it is larger than the sum of its proper divisors (1524897929969).

3431020342401 is a wasteful number, since it uses less digits than its factorization.

3431020342401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381224482495 (or 381224482492 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3431020342401 its reverse (1042430201343), we get a palindrome (4473450543744).

The spelling of 3431020342401 in words is "three trillion, four hundred thirty-one billion, twenty million, three hundred forty-two thousand, four hundred one".