3209972 has 36 divisors (see below), whose sum is σ = 6178116. Its totient is φ = 1457280.

The previous prime is 3209971. The next prime is 3210001. The reversal of 3209972 is 2799023.

3209972 is digitally balanced in base 5, 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 2 ways, for example, as 1430416 + 1779556 = 1196^2 + 1334^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78272 + ... + 78312.

Almost surely, 2^3209972 is an apocalyptic number.

It is an amenable number.

3209972 is a deficient number, since it is larger than the sum of its proper divisors (2968144).

3209972 is a wasteful number, since it uses less digits than its factorization.

3209972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 3209972 is about 1791.6394726618. The cubic root of 3209972 is about 147.5141727261.

The spelling of 3209972 in words is "three million, two hundred nine thousand, nine hundred seventy-two".