3420666561 has 32 divisors (see below), whose sum is σ = 5004679680. Its totient is φ = 2065363200.

The previous prime is 3420666527. The next prime is 3420666589. The reversal of 3420666561 is 1656660243.

It is not a de Polignac number, because 3420666561 - 2¹⁰ = 3420665537 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3420666461) 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 in 31 ways as a sum of consecutive naturals, for example, 1095160 + ... + 1098278.

It is an arithmetic number, because the mean of its divisors is an integer number (156396240).

Almost surely, 2^3420666561 is an apocalyptic number.

It is an amenable number.

3420666561 is a deficient number, since it is larger than the sum of its proper divisors (1584013119).

3420666561 is a wasteful number, since it uses less digits than its factorization.

3420666561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657.

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3420666561 is about 58486.4647674998. The cubic root of 3420666561 is about 1506.7351298662.

The spelling of 3420666561 in words is "three billion, four hundred twenty million, six hundred sixty-six thousand, five hundred sixty-one".