3729033 has 24 divisors (see below), whose sum is σ = 6716736. Its totient is φ = 1936800.

The previous prime is 3729031. The next prime is 3729041. The reversal of 3729033 is 3309273.

3729033 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 3729033 - 2¹ = 3729031 is a prime.

It is a Curzon number.

3729033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3728988 and 3729006.

It is not an unprimeable number, because it can be changed into a prime (3729031) 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, 1998 + ... + 3383.

It is an arithmetic number, because the mean of its divisors is an integer number (279864).

Almost surely, 2^3729033 is an apocalyptic number.

3729033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3729033 is a deficient number, since it is larger than the sum of its proper divisors (2987703).

3729033 is a wasteful number, since it uses less digits than its factorization.

3729033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3729033 is about 1931.0704285447. The cubic root of 3729033 is about 155.0715313265.

The spelling of 3729033 in words is "three million, seven hundred twenty-nine thousand, thirty-three".