3681407 has 2 divisors, whose sum is σ = 3681408. Its totient is φ = 3681406.

The previous prime is 3681373. The next prime is 3681413. The reversal of 3681407 is 7041863.

It is a strong prime.

It is an emirp because it is prime and its reverse (7041863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3681407 - 2⁸ = 3681151 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3681407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3681487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1840703 + 1840704.

It is an arithmetic number, because the mean of its divisors is an integer number (1840704).

Almost surely, 2^3681407 is an apocalyptic number.

3681407 is a deficient number, since it is larger than the sum of its proper divisors (1).

3681407 is an equidigital number, since it uses as much as digits as its factorization.

3681407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3681407 is about 1918.6992990044. The cubic root of 3681407 is about 154.4085262681.

The spelling of 3681407 in words is "three million, six hundred eighty-one thousand, four hundred seven".