3309768 has 128 divisors (see below), whose sum is σ = 11520000. Its totient is φ = 855360.

The previous prime is 3309763. The next prime is 3309809. The reversal of 3309768 is 8679033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3309763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16533 + ... + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (90000).

Almost surely, 2^3309768 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 3309768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760000).

3309768 is an abundant number, since it is smaller than the sum of its proper divisors (8210232).

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

3309768 is a wasteful number, since it uses less digits than its factorization.

3309768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3309768 is about 1819.2767793824. The cubic root of 3309768 is about 149.0273060776.

The spelling of 3309768 in words is "three million, three hundred nine thousand, seven hundred sixty-eight".