3201966738433 has 16 divisors (see below), whose sum is σ = 3240841214160. Its totient is φ = 3163275472896.

The previous prime is 3201966738403. The next prime is 3201966738449. The reversal of 3201966738433 is 3348376691023.

It can be written as a sum of positive squares in 8 ways, for example, as 1568726190144 + 1633240548289 = 1252488^2 + 1277983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3201966738433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3201966738403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68369841 + ... + 68416657.

It is an arithmetic number, because the mean of its divisors is an integer number (202552575885).

Almost surely, 2^{3201966738433} is an apocalyptic number.

It is an amenable number.

3201966738433 is a deficient number, since it is larger than the sum of its proper divisors (38874475727).

3201966738433 is a wasteful number, since it uses less digits than its factorization.

3201966738433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48756.

The product of its (nonzero) digits is 11757312, while the sum is 55.

The spelling of 3201966738433 in words is "three trillion, two hundred one billion, nine hundred sixty-six million, seven hundred thirty-eight thousand, four hundred thirty-three".