3585908904057 has 10 divisors (see below), whose sum is σ = 5356728116058. Its totient is φ = 2390605935984.

The previous prime is 3585908904049. The next prime is 3585908904059. The reversal of 3585908904057 is 7504098095853.

3585908904057 is a `hidden beast` number, since 3 + 58 + 5 + 90 + 8 + 90 + 405 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2125475325801 + 1460433578256 = 1457901^2 + 1208484^2 .

It is not a de Polignac number, because 3585908904057 - 2³ = 3585908904049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3585908903985 and 3585908904003.

It is not an unprimeable number, because it can be changed into a prime (3585908904059) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22135240068 + ... + 22135240229.

Almost surely, 2^{3585908904057} is an apocalyptic number.

It is an amenable number.

3585908904057 is a deficient number, since it is larger than the sum of its proper divisors (1770819212001).

3585908904057 is an equidigital number, since it uses as much as digits as its factorization.

3585908904057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44270480309 (or 44270480300 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 3585908904057 in words is "three trillion, five hundred eighty-five billion, nine hundred eight million, nine hundred four thousand, fifty-seven".