3306974983081 has 135 divisors (see below), whose sum is σ = 4505858687655. Its totient is φ = 2419635335040.

The previous prime is 3306974983033. The next prime is 3306974983121. The reversal of 3306974983081 is 1803894796033.

The square root of 3306974983081 is 1818509.

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

3306974983081 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., 58271546025 + 3248703437056 = 241395^2 + 1802416^2 .

It is not a de Polignac number, because 3306974983081 - 2¹³ = 3306974974889 is a prime.

It is a super-2 number, since 2×3306974983081² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3306974983031) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29265265281 + ... + 29265265393.

Almost surely, 2^{3306974983081} is an apocalyptic number.

3306974983081 is the 1818509-th square number.

3306974983081 is the 909255-th centered octagonal number.

It is an amenable number.

3306974983081 is a deficient number, since it is larger than the sum of its proper divisors (1198883704574).

3306974983081 is an frugal number, since it uses more digits than its factorization.

3306974983081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 3306974983081 in words is "three trillion, three hundred six billion, nine hundred seventy-four million, nine hundred eighty-three thousand, eighty-one".