3036960 has 192 divisors, whose sum is σ = 11491200. Its totient is φ = 746496.

The previous prime is 3036959. The next prime is 3036983. The reversal of 3036960 is 696303.

3036960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82062 + ... + 82098.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

Almost surely, 2^3036960 is an apocalyptic number.

3036960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3036960 is an abundant number, since it is smaller than the sum of its proper divisors (8454240).

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

3036960 is a wasteful number, since it uses less digits than its factorization.

3036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3036960 is about 1742.6875795736. The cubic root of 3036960 is about 144.8148250544.

The spelling of 3036960 in words is "three million, thirty-six thousand, nine hundred sixty".