3729461 has 2 divisors, whose sum is σ = 3729462. Its totient is φ = 3729460.

The previous prime is 3729457. The next prime is 3729463. The reversal of 3729461 is 1649273.

3729461 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., 2910436 + 819025 = 1706^2 + 905^2 .

It is a cyclic number.

It is not a de Polignac number, because 3729461 - 2² = 3729457 is a prime.

Together with 3729463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3729463) 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, 1864730 + 1864731.

It is an arithmetic number, because the mean of its divisors is an integer number (1864731).

Almost surely, 2^3729461 is an apocalyptic number.

It is an amenable number.

3729461 is a deficient number, since it is larger than the sum of its proper divisors (1).

3729461 is an equidigital number, since it uses as much as digits as its factorization.

3729461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 3729461 is about 1931.1812447308. The cubic root of 3729461 is about 155.0774638811.

The spelling of 3729461 in words is "three million, seven hundred twenty-nine thousand, four hundred sixty-one".