3746641 has 2 divisors, whose sum is σ = 3746642. Its totient is φ = 3746640.

The previous prime is 3746593. The next prime is 3746651. The reversal of 3746641 is 1466473.

3746641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3721041 + 25600 = 1929^2 + 160^2 .

It is an emirp because it is prime and its reverse (1466473) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3746641 - 2⁷ = 3746513 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3¹³ + 7⁷ + 4⁴ + 6 + 6⁷ + 4¹⁰ + 1 .

3746641 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (3746651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1873320 + 1873321.

It is an arithmetic number, because the mean of its divisors is an integer number (1873321).

Almost surely, 2^3746641 is an apocalyptic number.

It is an amenable number.

3746641 is a deficient number, since it is larger than the sum of its proper divisors (1).

3746641 is an equidigital number, since it uses as much as digits as its factorization.

3746641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 31.

The square root of 3746641 is about 1935.6241887309. The cubic root of 3746641 is about 155.3152239117.

The spelling of 3746641 in words is "three million, seven hundred forty-six thousand, six hundred forty-one".