3282258681 has 45 divisors (see below), whose sum is σ = 5181967739. Its totient is φ = 2001976704.

The previous prime is 3282258643. The next prime is 3282258713. The reversal of 3282258681 is 1868522823.

3282258681 = 1³ + 2³ + ... + 338³.

The square root of 3282258681 is 57291.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2086205625 + 1196053056 = 45675^2 + 34584^2 .

It is not a de Polignac number, because 3282258681 - 2⁹ = 3282258169 is a prime.

It is a super-2 number, since 2×3282258681² = 21546444097999719522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3282258601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29046481 + ... + 29046593.

Almost surely, 2^3282258681 is an apocalyptic number.

3282258681 is the 57291-st square number.

3282258681 is the 28646-th centered octagonal number.

It is an amenable number.

3282258681 is a deficient number, since it is larger than the sum of its proper divisors (1899709058).

3282258681 is an frugal number, since it uses more digits than its factorization.

3282258681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 129 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The cubic root of 3282258681 is about 1486.1327397943.

It can be divided in two parts, 328 and 2258681, that added together give a square (2259009 = 1503²).

The spelling of 3282258681 in words is "three billion, two hundred eighty-two million, two hundred fifty-eight thousand, six hundred eighty-one".