3012880 has 40 divisors (see below), whose sum is σ = 7546392. Its totient is φ = 1112064.

The previous prime is 3012871. The next prime is 3012883. The reversal of 3012880 is 882103.

3012880 = T₁₄₇ + T₁₄₈ + ... + T₂₇₆.

3012880 is digitally balanced in base 2, 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 4 ways, for example, as 26896 + 2985984 = 164^2 + 1728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3012883) 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, 409 + ... + 2488.

Almost surely, 2^3012880 is an apocalyptic number.

It is an amenable number.

3012880 is an abundant number, since it is smaller than the sum of its proper divisors (4533512).

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

3012880 is a wasteful number, since it uses less digits than its factorization.

3012880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 3012880 is about 1735.7649610474. The cubic root of 3012880 is about 144.4310642877.

Adding to 3012880 its reverse (882103), we get a palindrome (3894983).

The spelling of 3012880 in words is "three million, twelve thousand, eight hundred eighty".