3667117681 has 2 divisors, whose sum is σ = 3667117682. Its totient is φ = 3667117680.

The previous prime is 3667117621. The next prime is 3667117691. The reversal of 3667117681 is 1867117663.

3667117681 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., 1911088656 + 1756029025 = 43716^2 + 41905^2 .

It is a cyclic number.

It is not a de Polignac number, because 3667117681 - 2⁹ = 3667117169 is a prime.

It is a super-2 number, since 2×3667117681² = 26895504172605635522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3667117621) 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, 1833558840 + 1833558841.

It is an arithmetic number, because the mean of its divisors is an integer number (1833558841).

Almost surely, 2^3667117681 is an apocalyptic number.

It is an amenable number.

3667117681 is a deficient number, since it is larger than the sum of its proper divisors (1).

3667117681 is an equidigital number, since it uses as much as digits as its factorization.

3667117681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 46.

The square root of 3667117681 is about 60556.7310957254. The cubic root of 3667117681 is about 1542.0848920332.

The spelling of 3667117681 in words is "three billion, six hundred sixty-seven million, one hundred seventeen thousand, six hundred eighty-one".