3424896585 has 192 divisors, whose sum is σ = 7461642240. Its totient is φ = 1430784000.

The previous prime is 3424896511. The next prime is 3424896589. The reversal of 3424896585 is 5856984243.

3424896585 is a `hidden beast` number, since 3 + 424 + 89 + 65 + 85 = 666.

It is not a de Polignac number, because 3424896585 - 2⁹ = 3424896073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3424896589) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4956090 + ... + 4956780.

It is an arithmetic number, because the mean of its divisors is an integer number (38862720).

Almost surely, 2^3424896585 is an apocalyptic number.

It is an amenable number.

3424896585 is an abundant number, since it is smaller than the sum of its proper divisors (4036745655).

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

3424896585 is a wasteful number, since it uses less digits than its factorization.

3424896585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 777 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 3424896585 is about 58522.6160129569. The cubic root of 3424896585 is about 1507.3559543231.

It can be divided in two parts, 3424 and 896585, that added together give a palindrome (900009).

The spelling of 3424896585 in words is "three billion, four hundred twenty-four million, eight hundred ninety-six thousand, five hundred eighty-five".