3327993869841 has 27 divisors (see below), whose sum is σ = 4857945831921. Its totient is φ = 2195439508224.

The previous prime is 3327993869819. The next prime is 3327993869909. The reversal of 3327993869841 is 1489683997233.

The square root of 3327993869841 is 1824279.

It is a perfect power (a square), and thus also a powerful number.

3327993869841 is a `hidden beast` number, since 3 + 32 + 7 + 99 + 386 + 98 + 41 = 666.

3327993869841 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 4 ways, for example, as 185188212225 + 3142805657616 = 430335^2 + 1772796^2 .

It is not a de Polignac number, because 3327993869841 - 2⁷ = 3327993869713 is a prime.

It is a super-3 number, since 3×3327993869841³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3327993869841.

It is not an unprimeable number, because it can be changed into a prime (3327993869041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 530862055 + ... + 530868323.

Almost surely, 2^{3327993869841} is an apocalyptic number.

3327993869841 is the 1824279-th square number.

3327993869841 is the 912140-th centered octagonal number.

It is an amenable number.

3327993869841 is a deficient number, since it is larger than the sum of its proper divisors (1529951962080).

3327993869841 is an frugal number, since it uses more digits than its factorization.

3327993869841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738 (or 6369 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 3327993869841 in words is "three trillion, three hundred twenty-seven billion, nine hundred ninety-three million, eight hundred sixty-nine thousand, eight hundred forty-one".