3003972 has 24 divisors (see below), whose sum is σ = 7054656. Its totient is φ = 994848.

The previous prime is 3003971. The next prime is 3003977. The reversal of 3003972 is 2793003.

3003972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3003971) 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 7 ways as a sum of consecutive naturals, for example, 1353 + ... + 2799.

It is an arithmetic number, because the mean of its divisors is an integer number (293944).

Almost surely, 2^3003972 is an apocalyptic number.

It is an amenable number.

3003972 is an abundant number, since it is smaller than the sum of its proper divisors (4050684).

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

3003972 is a wasteful number, since it uses less digits than its factorization.

3003972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 3003972 is about 1733.1970459241. The cubic root of 3003972 is about 144.2885802410.

Adding to 3003972 its reverse (2793003), we get a palindrome (5796975).

The spelling of 3003972 in words is "three million, three thousand, nine hundred seventy-two".