3300305340 has 96 divisors (see below), whose sum is σ = 9364481280. Its totient is φ = 868389376.

The previous prime is 3300305303. The next prime is 3300305347. The reversal of 3300305340 is 435030033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300305347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470259 + ... + 1472501.

It is an arithmetic number, because the mean of its divisors is an integer number (97546680).

Almost surely, 2^3300305340 is an apocalyptic number.

3300305340 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 3300305340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682240640).

3300305340 is an abundant number, since it is smaller than the sum of its proper divisors (6064175940).

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

3300305340 is a wasteful number, since it uses less digits than its factorization.

3300305340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 21.

The square root of 3300305340 is about 57448.2840474805. The cubic root of 3300305340 is about 1488.8514699101.

Adding to 3300305340 its reverse (435030033), we get a palindrome (3735335373).

The spelling of 3300305340 in words is "three billion, three hundred million, three hundred five thousand, three hundred forty".