3729041 has 2 divisors, whose sum is σ = 3729042. Its totient is φ = 3729040.

The previous prime is 3729031. The next prime is 3729043. The reversal of 3729041 is 1409273.

3729041 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., 2989441 + 739600 = 1729^2 + 860^2 .

It is a cyclic number.

It is not a de Polignac number, because 3729041 - 2¹⁰ = 3728017 is a prime.

It is a Sophie Germain prime.

Together with 3729043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3729041.

It is not a weakly prime, because it can be changed into another prime (3729043) 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, 1864520 + 1864521.

It is an arithmetic number, because the mean of its divisors is an integer number (1864521).

Almost surely, 2^3729041 is an apocalyptic number.

It is an amenable number.

3729041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3729041 is an equidigital number, since it uses as much as digits as its factorization.

3729041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 3729041 is about 1931.0724999337. The cubic root of 3729041 is about 155.0716422195.

The spelling of 3729041 in words is "three million, seven hundred twenty-nine thousand, forty-one".