3729825 has 54 divisors (see below), whose sum is σ = 7396662. Its totient is φ = 1795200.

The previous prime is 3729809. The next prime is 3729853. The reversal of 3729825 is 5289273.

It is a happy number.

3729825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 314721 + 3415104 = 561^2 + 1848^2 .

It is not a de Polignac number, because 3729825 - 2⁴ = 3729809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3729825.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 27157 + ... + 27293.

Almost surely, 2^3729825 is an apocalyptic number.

It is an amenable number.

3729825 is a deficient number, since it is larger than the sum of its proper divisors (3666837).

3729825 is a wasteful number, since it uses less digits than its factorization.

3729825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3729825 is about 1931.2754852687. The cubic root of 3729825 is about 155.0825089677.

It can be divided in two parts, 3729 and 825, that added together give a palindrome (4554).

The spelling of 3729825 in words is "three million, seven hundred twenty-nine thousand, eight hundred twenty-five".