3224081961 has 27 divisors (see below), whose sum is σ = 4842785623. Its totient is φ = 2146321800.

The previous prime is 3224081947. The next prime is 3224082007. The reversal of 3224081961 is 1691804223.

The square root of 3224081961 is 56781.

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

It can be written as a sum of positive squares in only one way, i.e., 2780558361 + 443523600 = 52731^2 + 21060^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 3224081961 - 2²¹ = 3221984809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3224081921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4598911 + ... + 4599611.

Almost surely, 2^3224081961 is an apocalyptic number.

3224081961 is the 56781-st square number.

3224081961 is the 28391-st centered octagonal number.

It is an amenable number.

3224081961 is a deficient number, since it is larger than the sum of its proper divisors (1618703662).

3224081961 is an frugal number, since it uses more digits than its factorization.

3224081961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 3224081961 is about 1477.2999775605.

Multiplying 3224081961 by its sum of digits (36), we get a square (116066950596 = 340686²).

Multiplying 3224081961 by its product of nonzero digits (20736), we get a square (66854563543296 = 8176464²).

The spelling of 3224081961 in words is "three billion, two hundred twenty-four million, eighty-one thousand, nine hundred sixty-one".