3036880 has 160 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 860160.

The previous prime is 3036871. The next prime is 3036881. The reversal of 3036880 is 886303.

3036880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3036880 is a nontrivial binomial coefficient, being equal to C(2465, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3036881) 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 31 ways as a sum of consecutive naturals, for example, 104706 + ... + 104734.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

Almost surely, 2^3036880 is an apocalyptic number.

3036880 is the 2464-th triangular number.

3036880 is the 822-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3036880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

3036880 is an abundant number, since it is smaller than the sum of its proper divisors (6605360).

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

3036880 is a wasteful number, since it uses less digits than its factorization.

3036880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3036880 is about 1742.6646263696. The cubic root of 3036880 is about 144.8135534661.

It can be divided in two parts, 3036 and 880, that added together give a triangular number (3916 = T₈₈).

The spelling of 3036880 in words is "three million, thirty-six thousand, eight hundred eighty".