3686401 has 2 divisors, whose sum is σ = 3686402. Its totient is φ = 3686400.

The previous prime is 3686387. The next prime is 3686411. The reversal of 3686401 is 1046863.

It is a Cunningham number, because it is equal to 1920²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 1 = 1920^2 + 1^2 .

It is an emirp because it is prime and its reverse (1046863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3686401 - 2⁵ = 3686369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3686401.

It is not a weakly prime, because it can be changed into another prime (3686411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1843200 + 1843201.

It is an arithmetic number, because the mean of its divisors is an integer number (1843201).

It is a Proth number, since it is equal to 225 ⋅ 2¹⁴ + 1 and 225 < 2¹⁴.

Almost surely, 2^3686401 is an apocalyptic number.

It is an amenable number.

3686401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3686401 is an equidigital number, since it uses as much as digits as its factorization.

3686401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3686401 is about 1920.0002604166. Note that the first 3 decimals coincide. The cubic root of 3686401 is about 154.4783155052.

The spelling of 3686401 in words is "three million, six hundred eighty-six thousand, four hundred one".