3033960 has 64 divisors (see below), whose sum is σ = 9218880. Its totient is φ = 798720.

The previous prime is 3033941. The next prime is 3033971. The reversal of 3033960 is 693303.

3033960 is digitally balanced in base 2 and base 5, because in such bases 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3033960.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15624 + ... + 15816.

It is an arithmetic number, because the mean of its divisors is an integer number (144045).

Almost surely, 2^3033960 is an apocalyptic number.

3033960 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 3033960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609440).

3033960 is an abundant number, since it is smaller than the sum of its proper divisors (6184920).

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

3033960 is a wasteful number, since it uses less digits than its factorization.

3033960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 3033960 is about 1741.8266274231. The cubic root of 3033960 is about 144.7671252047.

It can be divided in two parts, 3033 and 960, that added together give a palindrome (3993).

The spelling of 3033960 in words is "three million, thirty-three thousand, nine hundred sixty".