3006972 has 36 divisors (see below), whose sum is σ = 7685496. Its totient is φ = 991200.

The previous prime is 3006967. The next prime is 3006973. The reversal of 3006972 is 2796003.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3223 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (213486).

Almost surely, 2^3006972 is an apocalyptic number.

It is an amenable number.

3006972 is an abundant number, since it is smaller than the sum of its proper divisors (4678524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3006972 is a wasteful number, since it uses less digits than its factorization.

3006972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3006972 is about 1734.0622826185. The cubic root of 3006972 is about 144.3365968584.

The spelling of 3006972 in words is "three million, six thousand, nine hundred seventy-two".