3585038442057 has 6 divisors (see below), whose sum is σ = 5178388860762. Its totient is φ = 2390025628032.

The previous prime is 3585038442049. The next prime is 3585038442119. The reversal of 3585038442057 is 7502448305853.

3585038442057 is a `hidden beast` number, since 3 + 5 + 8 + 50 + 384 + 4 + 205 + 7 = 666.

3585038442057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3475152158976 + 109886283081 = 1864176^2 + 331491^2 .

It is not a de Polignac number, because 3585038442057 - 2³ = 3585038442049 is a prime.

It is a super-4 number, since 4×3585038442057⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3585038441994 and 3585038442012.

It is not an unprimeable number, because it can be changed into a prime (3585038442457) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199168802328 + ... + 199168802345.

It is an arithmetic number, because the mean of its divisors is an integer number (863064810127).

Almost surely, 2^{3585038442057} is an apocalyptic number.

It is an amenable number.

3585038442057 is a deficient number, since it is larger than the sum of its proper divisors (1593350418705).

3585038442057 is a wasteful number, since it uses less digits than its factorization.

3585038442057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398337604679 (or 398337604676 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 3585038442057 in words is "three trillion, five hundred eighty-five billion, thirty-eight million, four hundred forty-two thousand, fifty-seven".