3680006617 has 16 divisors (see below), whose sum is σ = 4233644800. Its totient is φ = 3133416960.

The previous prime is 3680006593. The next prime is 3680006623. The reversal of 3680006617 is 7166000863.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3680006617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3680006117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738109 + ... + 743077.

It is an arithmetic number, because the mean of its divisors is an integer number (264602800).

Almost surely, 2^3680006617 is an apocalyptic number.

It is an amenable number.

3680006617 is a deficient number, since it is larger than the sum of its proper divisors (553638183).

3680006617 is a wasteful number, since it uses less digits than its factorization.

3680006617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3680006617 is about 60663.0580913953. The cubic root of 3680006617 is about 1543.8894512260.

The spelling of 3680006617 in words is "three billion, six hundred eighty million, six thousand, six hundred seventeen".