3735903 has 24 divisors (see below), whose sum is σ = 5501440. Its totient is φ = 2252160.

The previous prime is 3735887. The next prime is 3735911. The reversal of 3735903 is 3095373.

3735903 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3735903 - 2⁴ = 3735887 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735923) 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 in 23 ways as a sum of consecutive naturals, for example, 26808 + ... + 26946.

Almost surely, 2^3735903 is an apocalyptic number.

3735903 is a deficient number, since it is larger than the sum of its proper divisors (1765537).

3735903 is a wasteful number, since it uses less digits than its factorization.

3735903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 30.

The square root of 3735903 is about 1932.8484161982. The cubic root of 3735903 is about 155.1667023679.

The spelling of 3735903 in words is "three million, seven hundred thirty-five thousand, nine hundred three".