3657667563 has 64 divisors (see below), whose sum is σ = 6009292800. Its totient is φ = 2180386080.

The previous prime is 3657667553. The next prime is 3657667577.

It is a happy number.

3657667563 is a `hidden beast` number, since 3 + 6 + 5 + 76 + 6 + 7 + 563 = 666.

3657667563 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3657667563 - 2⁶ = 3657667499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3657667553) 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 63 ways as a sum of consecutive naturals, for example, 5688120 + ... + 5688762.

It is an arithmetic number, because the mean of its divisors is an integer number (93895200).

Almost surely, 2^3657667563 is an apocalyptic number.

3657667563 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3657667563 is a deficient number, since it is larger than the sum of its proper divisors (2351625237).

3657667563 is a wasteful number, since it uses less digits than its factorization.

3657667563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The square root of 3657667563 is about 60478.6537796601. The cubic root of 3657667563 is about 1540.7591078192.

The spelling of 3657667563 in words is "three billion, six hundred fifty-seven million, six hundred sixty-seven thousand, five hundred sixty-three".