3082581441 has 45 divisors (see below), whose sum is σ = 4782209553. Its totient is φ = 1978768440.

The previous prime is 3082581427. The next prime is 3082581449. The reversal of 3082581441 is 1441852803.

The square root of 3082581441 is 55521.

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

3082581441 is a `hidden beast` number, since 30 + 8 + 2 + 581 + 4 + 41 = 666.

It is not a de Polignac number, because 3082581441 - 2⁵ = 3082581409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3082581396 and 3082581405.

It is not an unprimeable number, because it can be changed into a prime (3082581449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15490260 + ... + 15490458.

Almost surely, 2^3082581441 is an apocalyptic number.

3082581441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3082581441 is the 55521-st square number.

3082581441 is the 27761-st centered octagonal number.

It is an amenable number.

3082581441 is a deficient number, since it is larger than the sum of its proper divisors (1699628112).

3082581441 is an frugal number, since it uses more digits than its factorization.

3082581441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 3082581441 is about 1455.3636374564.

Multiplying 3082581441 by its sum of digits (36), we get a square (110972931876 = 333126²).

The spelling of 3082581441 in words is "three billion, eighty-two million, five hundred eighty-one thousand, four hundred forty-one".