3420505809 has 36 divisors (see below), whose sum is σ = 5779622160. Its totient is φ = 1943610480.

The previous prime is 3420505787. The next prime is 3420505813. The reversal of 3420505809 is 9085050243.

3420505809 is a `hidden beast` number, since 3 + 4 + 20 + 50 + 580 + 9 = 666.

3420505809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3420505809 - 2¹² = 3420501713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3420505849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57274 + ... + 100604.

It is an arithmetic number, because the mean of its divisors is an integer number (160545060).

Almost surely, 2^3420505809 is an apocalyptic number.

It is an amenable number.

3420505809 is a deficient number, since it is larger than the sum of its proper divisors (2359116351).

3420505809 is a wasteful number, since it uses less digits than its factorization.

3420505809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43530 (or 43520 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3420505809 is about 58485.0904846697. The cubic root of 3420505809 is about 1506.7115268173.

The spelling of 3420505809 in words is "three billion, four hundred twenty million, five hundred five thousand, eight hundred nine".