3306765 has 48 divisors (see below), whose sum is σ = 6730560. Its totient is φ = 1370880.

The previous prime is 3306763. The next prime is 3306791. The reversal of 3306765 is 5676033.

3306765 = 133² + 134² + ... + 230².

3306765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3306765 - 2¹ = 3306763 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306763) 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 47 ways as a sum of consecutive naturals, for example, 7881 + ... + 8289.

It is an arithmetic number, because the mean of its divisors is an integer number (140220).

Almost surely, 2^3306765 is an apocalyptic number.

3306765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3306765 is an abundant number, since it is smaller than the sum of its proper divisors (3423795).

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

3306765 is a wasteful number, since it uses less digits than its factorization.

3306765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 3306765 is about 1818.4512641256. The cubic root of 3306765 is about 148.9822209016.

The spelling of 3306765 in words is "three million, three hundred six thousand, seven hundred sixty-five".