3035968 has 56 divisors (see below), whose sum is σ = 6720840. Its totient is φ = 1351680.

The previous prime is 3035957. The next prime is 3035969. The reversal of 3035968 is 8695303.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 2849344 = 432^2 + 1688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3035969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34068 + ... + 34156.

It is an arithmetic number, because the mean of its divisors is an integer number (120015).

Almost surely, 2^3035968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360420).

3035968 is an abundant number, since it is smaller than the sum of its proper divisors (3684872).

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

3035968 is a wasteful number, since it uses less digits than its factorization.

3035968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 3035968 is about 1742.4029384732. The cubic root of 3035968 is about 144.7990557817.

The spelling of 3035968 in words is "three million, thirty-five thousand, nine hundred sixty-eight".