3680407667 has 8 divisors (see below), whose sum is σ = 3717932400. Its totient is φ = 3643041024.

The previous prime is 3680407657. The next prime is 3680407739. The reversal of 3680407667 is 7667040863.

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

It is a cyclic number.

It is not a de Polignac number, because 3680407667 - 2¹⁰ = 3680406643 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3680407657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7559 + ... + 86127.

It is an arithmetic number, because the mean of its divisors is an integer number (464741550).

Almost surely, 2^3680407667 is an apocalyptic number.

3680407667 is a deficient number, since it is larger than the sum of its proper divisors (37524733).

3680407667 is a wasteful number, since it uses less digits than its factorization.

3680407667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79045.

The product of its (nonzero) digits is 1016064, while the sum is 47.

The square root of 3680407667 is about 60666.3635551036. The cubic root of 3680407667 is about 1543.9455339488.

The spelling of 3680407667 in words is "three billion, six hundred eighty million, four hundred seven thousand, six hundred sixty-seven".