3729008 has 20 divisors (see below), whose sum is σ = 7421400. Its totient is φ = 1813824.

The previous prime is 3729007. The next prime is 3729017. The reversal of 3729008 is 8009273.

3729008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729007) 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 3 ways as a sum of consecutive naturals, for example, 2558 + ... + 3741.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^3729008 is an apocalyptic number.

It is an amenable number.

3729008 is a deficient number, since it is larger than the sum of its proper divisors (3692392).

3729008 is a wasteful number, since it uses less digits than its factorization.

3729008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 3729008 is about 1931.0639554401. The cubic root of 3729008 is about 155.0711847847.

It can be divided in two parts, 37 and 29008, that multiplied together give a square (1073296 = 1036²).

The spelling of 3729008 in words is "three million, seven hundred twenty-nine thousand, eight".