3667117663 has 8 divisors (see below), whose sum is σ = 4066074576. Its totient is φ = 3279091200.

The previous prime is 3667117621. The next prime is 3667117681.

It is a happy number.

3667117663 is nontrivially palindromic in base 10.

3667117663 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-3667117663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667117603) 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 7 ways as a sum of consecutive naturals, for example, 2731906 + ... + 2733247.

It is an arithmetic number, because the mean of its divisors is an integer number (508259322).

Almost surely, 2^3667117663 is an apocalyptic number.

3667117663 is a deficient number, since it is larger than the sum of its proper divisors (398956913).

3667117663 is a wasteful number, since it uses less digits than its factorization.

3667117663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465225.

The product of its digits is 571536, while the sum is 46.

The square root of 3667117663 is about 60556.7309471045. The cubic root of 3667117663 is about 1542.0848895101.

The spelling of 3667117663 in words is "three billion, six hundred sixty-seven million, one hundred seventeen thousand, six hundred sixty-three".