3420506879873 has 2 divisors, whose sum is σ = 3420506879874. Its totient is φ = 3420506879872.

The previous prime is 3420506879807. The next prime is 3420506879939. The reversal of 3420506879873 is 3789786050243.

It is a balanced prime because it is at equal distance from previous prime (3420506879807) and next prime (3420506879939).

It can be written as a sum of positive squares in only one way, i.e., 3343218431809 + 77288448064 = 1828447^2 + 278008^2 .

It is a cyclic number.

It is not a de Polignac number, because 3420506879873 - 2¹⁰ = 3420506878849 is a prime.

It is a super-2 number, since 2×3420506879873² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3420506873873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1710253439936 + 1710253439937.

It is an arithmetic number, because the mean of its divisors is an integer number (1710253439937).

Almost surely, 2^{3420506879873} is an apocalyptic number.

It is an amenable number.

3420506879873 is a deficient number, since it is larger than the sum of its proper divisors (1).

3420506879873 is an equidigital number, since it uses as much as digits as its factorization.

3420506879873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60963840, while the sum is 62.

The spelling of 3420506879873 in words is "three trillion, four hundred twenty billion, five hundred six million, eight hundred seventy-nine thousand, eight hundred seventy-three".