3429009585 has 16 divisors (see below), whose sum is σ = 6096017280. Its totient is φ = 1828805040.

The previous prime is 3429009581. The next prime is 3429009593. The reversal of 3429009585 is 5859009243.

It is not a de Polignac number, because 3429009585 - 2² = 3429009581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3429009585.

It is not an unprimeable number, because it can be changed into a prime (3429009581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12699901 + ... + 12700170.

It is an arithmetic number, because the mean of its divisors is an integer number (381001080).

Almost surely, 2^3429009585 is an apocalyptic number.

It is an amenable number.

3429009585 is a deficient number, since it is larger than the sum of its proper divisors (2667007695).

3429009585 is a wasteful number, since it uses less digits than its factorization.

3429009585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25400085 (or 25400079 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3429009585 is about 58557.7457301765. The cubic root of 3429009585 is about 1507.9591136452.

The spelling of 3429009585 in words is "three billion, four hundred twenty-nine million, nine thousand, five hundred eighty-five".