3672833 has 16 divisors (see below), whose sum is σ = 4173120. Its totient is φ = 3211776.

The previous prime is 3672829. The next prime is 3672853. The reversal of 3672833 is 3382763.

It is not a de Polignac number, because 3672833 - 2² = 3672829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3672833.

It is not an unprimeable number, because it can be changed into a prime (3672803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26741 + ... + 26877.

It is an arithmetic number, because the mean of its divisors is an integer number (260820).

Almost surely, 2^3672833 is an apocalyptic number.

It is an amenable number.

3672833 is a deficient number, since it is larger than the sum of its proper divisors (500287).

3672833 is a wasteful number, since it uses less digits than its factorization.

3672833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its digits is 18144, while the sum is 32.

The square root of 3672833 is about 1916.4636704096. The cubic root of 3672833 is about 154.2885605573.

The spelling of 3672833 in words is "three million, six hundred seventy-two thousand, eight hundred thirty-three".