3483414585 has 32 divisors (see below), whose sum is σ = 7077415680. Its totient is φ = 1592417664.

The previous prime is 3483414569. The next prime is 3483414589. The reversal of 3483414585 is 5854143843.

3483414585 is a `hidden beast` number, since 34 + 8 + 34 + 1 + 4 + 585 = 666.

It is not a de Polignac number, because 3483414585 - 2⁴ = 3483414569 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 3483414585.

It is not an unprimeable number, because it can be changed into a prime (3483414589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842132 + ... + 1844021.

It is an arithmetic number, because the mean of its divisors is an integer number (221169240).

Almost surely, 2^3483414585 is an apocalyptic number.

3483414585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3483414585 is an abundant number, since it is smaller than the sum of its proper divisors (3594001095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3483414585 is a wasteful number, since it uses less digits than its factorization.

3483414585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686174 (or 3686168 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 3483414585 is about 59020.4590375236. The cubic root of 3483414585 is about 1515.8924454587.

The spelling of 3483414585 in words is "three billion, four hundred eighty-three million, four hundred fourteen thousand, five hundred eighty-five".