3681576961 has 2 divisors, whose sum is σ = 3681576962. Its totient is φ = 3681576960.

The previous prime is 3681576929. The next prime is 3681576979. The reversal of 3681576961 is 1696751863.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2751631936 + 929945025 = 52456^2 + 30495^2 .

It is an emirp because it is prime and its reverse (1696751863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3681576961 - 2⁵ = 3681576929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3681576899 and 3681576908.

It is not a weakly prime, because it can be changed into another prime (3681576901) 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 as a sum of consecutive naturals, namely, 1840788480 + 1840788481.

It is an arithmetic number, because the mean of its divisors is an integer number (1840788481).

Almost surely, 2^3681576961 is an apocalyptic number.

It is an amenable number.

3681576961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3681576961 is an equidigital number, since it uses as much as digits as its factorization.

3681576961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1632960, while the sum is 52.

The square root of 3681576961 is about 60675.9998763926. Note that the first 3 decimals coincide. The cubic root of 3681576961 is about 1544.1090244511.

The spelling of 3681576961 in words is "three billion, six hundred eighty-one million, five hundred seventy-six thousand, nine hundred sixty-one".