3744835985993 has 8 divisors (see below), whose sum is σ = 3851100204840. Its totient is φ = 3639282565120.

The previous prime is 3744835985983. The next prime is 3744835986041. The reversal of 3744835985993 is 3995895384473.

It can be written as a sum of positive squares in 4 ways, for example, as 83571871744 + 3661264114249 = 289088^2 + 1913443^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3744835985993 - 2⁴ = 3744835985977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3744835985983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177688808 + ... + 177709881.

It is an arithmetic number, because the mean of its divisors is an integer number (481387525605).

Almost surely, 2^{3744835985993} is an apocalyptic number.

It is an amenable number.

3744835985993 is a deficient number, since it is larger than the sum of its proper divisors (106264218847).

3744835985993 is a wasteful number, since it uses less digits than its factorization.

3744835985993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355398987.

The product of its digits is 3527193600, while the sum is 77.

The spelling of 3744835985993 in words is "three trillion, seven hundred forty-four billion, eight hundred thirty-five million, nine hundred eighty-five thousand, nine hundred ninety-three".