3420506880001 has 2 divisors, whose sum is σ = 3420506880002. Its totient is φ = 3420506880000.

The previous prime is 3420506879989. The next prime is 3420506880013. The reversal of 3420506880001 is 1000886050243.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (3420506879989) and next prime (3420506880013).

It can be written as a sum of positive squares in only one way, i.e., 2155388079376 + 1265118800625 = 1468124^2 + 1124775^2 .

It is a cyclic number.

It is not a de Polignac number, because 3420506880001 - 2⁷ = 3420506879873 is a prime.

It is a super-2 number, since 2×3420506880001² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3420506980001) 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 as a sum of consecutive naturals, namely, 1710253440000 + 1710253440001.

It is an arithmetic number, because the mean of its divisors is an integer number (1710253440001).

Almost surely, 2^{3420506880001} is an apocalyptic number.

It is an amenable number.

3420506880001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3420506880001 is an equidigital number, since it uses as much as digits as its factorization.

3420506880001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 3420506880001 in words is "three trillion, four hundred twenty billion, five hundred six million, eight hundred eighty thousand, one".