3681601 has 16 divisors (see below), whose sum is σ = 4636800. Its totient is φ = 2839680.

The previous prime is 3681599. The next prime is 3681619. The reversal of 3681601 is 1061863.

It is a cyclic number.

It is not a de Polignac number, because 3681601 - 2¹ = 3681599 is a prime.

3681601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3681001) 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, 10375 + ... + 10723.

It is an arithmetic number, because the mean of its divisors is an integer number (289800).

Almost surely, 2^3681601 is an apocalyptic number.

It is an amenable number.

3681601 is a deficient number, since it is larger than the sum of its proper divisors (955199).

3681601 is a wasteful number, since it uses less digits than its factorization.

3681601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3681601 is about 1918.7498534202. The cubic root of 3681601 is about 154.4112385217.

The spelling of 3681601 in words is "three million, six hundred eighty-one thousand, six hundred one".