3680006593 has 2 divisors, whose sum is σ = 3680006594. Its totient is φ = 3680006592.

The previous prime is 3680006581. The next prime is 3680006623. The reversal of 3680006593 is 3956000863.

3680006593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3433139649 + 246866944 = 58593^2 + 15712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3680006593 is a prime.

It is not a weakly prime, because it can be changed into another prime (3680006503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1840003296 + 1840003297.

It is an arithmetic number, because the mean of its divisors is an integer number (1840003297).

Almost surely, 2^3680006593 is an apocalyptic number.

It is an amenable number.

3680006593 is a deficient number, since it is larger than the sum of its proper divisors (1).

3680006593 is an equidigital number, since it uses as much as digits as its factorization.

3680006593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 3680006593 is about 60663.0578935813. The cubic root of 3680006593 is about 1543.8894478697.

The spelling of 3680006593 in words is "three billion, six hundred eighty million, six thousand, five hundred ninety-three".