3438999585 has 60 divisors (see below), whose sum is σ = 7171252308. Its totient is φ = 1572105024.

The previous prime is 3438999569. The next prime is 3438999589. The reversal of 3438999585 is 5859998343.

3438999585 is a `hidden beast` number, since 3 + 43 + 8 + 9 + 9 + 9 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 744143841 + 2694855744 = 27279^2 + 51912^2 .

It is not a de Polignac number, because 3438999585 - 2⁴ = 3438999569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3438999589) 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 59 ways as a sum of consecutive naturals, for example, 66802 + ... + 106491.

Almost surely, 2^3438999585 is an apocalyptic number.

3438999585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3438999585 is an abundant number, since it is smaller than the sum of its proper divisors (3732252723).

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

3438999585 is a wasteful number, since it uses less digits than its factorization.

3438999585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173324 (or 173308 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The square root of 3438999585 is about 58642.9841072229. The cubic root of 3438999585 is about 1509.4221119510.

The spelling of 3438999585 in words is "three billion, four hundred thirty-eight million, nine hundred ninety-nine thousand, five hundred eighty-five".