3985305693201 has 48 divisors (see below), whose sum is σ = 6868850116800. Its totient is φ = 2277068988096.

The previous prime is 3985305693151. The next prime is 3985305693217. The reversal of 3985305693201 is 1023965035893.

3985305693201 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 305 + 6 + 9 + 320 + 1 = 666.

It is not a de Polignac number, because 3985305693201 - 2⁶ = 3985305693137 is a prime.

It is a super-2 number, since 2×3985305693201² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3985305693001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12320190 + ... + 12639528.

It is an arithmetic number, because the mean of its divisors is an integer number (143101044100).

Almost surely, 2^{3985305693201} is an apocalyptic number.

It is an amenable number.

3985305693201 is a deficient number, since it is larger than the sum of its proper divisors (2883544423599).

3985305693201 is a wasteful number, since it uses less digits than its factorization.

3985305693201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328795 (or 328782 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 3985305693201 in words is "three trillion, nine hundred eighty-five billion, three hundred five million, six hundred ninety-three thousand, two hundred one".