3677670667 has 16 divisors (see below), whose sum is σ = 4031419392. Its totient is φ = 3327203520.

The previous prime is 3677670653. The next prime is 3677670679. The reversal of 3677670667 is 7660767763.

It is a cyclic number.

It is not a de Polignac number, because 3677670667 - 2⁷ = 3677670539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3677670637) 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 15 ways as a sum of consecutive naturals, for example, 3459178 + ... + 3460240.

It is an arithmetic number, because the mean of its divisors is an integer number (251963712).

Almost surely, 2^3677670667 is an apocalyptic number.

3677670667 is a deficient number, since it is larger than the sum of its proper divisors (353748725).

3677670667 is a wasteful number, since it uses less digits than its factorization.

3677670667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298.

The product of its (nonzero) digits is 9335088, while the sum is 55.

The square root of 3677670667 is about 60643.8015546519. The cubic root of 3677670667 is about 1543.5627116035.

The spelling of 3677670667 in words is "three billion, six hundred seventy-seven million, six hundred seventy thousand, six hundred sixty-seven".