3681506321 has 2 divisors, whose sum is σ = 3681506322. Its totient is φ = 3681506320.

The previous prime is 3681506243. The next prime is 3681506347. The reversal of 3681506321 is 1236051863.

3681506321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3637416721 + 44089600 = 60311^2 + 6640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3681506321 is a prime.

It is not a weakly prime, because it can be changed into another prime (3681506371) 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 as a sum of consecutive naturals, namely, 1840753160 + 1840753161.

It is an arithmetic number, because the mean of its divisors is an integer number (1840753161).

Almost surely, 2^3681506321 is an apocalyptic number.

It is an amenable number.

3681506321 is a deficient number, since it is larger than the sum of its proper divisors (1).

3681506321 is an equidigital number, since it uses as much as digits as its factorization.

3681506321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3681506321 is about 60675.4177653521. The cubic root of 3681506321 is about 1544.0991485600.

The spelling of 3681506321 in words is "three billion, six hundred eighty-one million, five hundred six thousand, three hundred twenty-one".