3330134440 has 64 divisors (see below), whose sum is σ = 7609689360. Its totient is φ = 1311344640.

The previous prime is 3330134429. The next prime is 3330134443. The reversal of 3330134440 is 444310333.

It can be written as a sum of positive squares in 8 ways, for example, as 773618596 + 2556515844 = 27814^2 + 50562^2 .

It is a super-2 number, since 2×3330134440² = 22179590776948227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330134443) 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 15 ways as a sum of consecutive naturals, for example, 2980762 + ... + 2981878.

Almost surely, 2^3330134440 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 3330134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804844680).

3330134440 is an abundant number, since it is smaller than the sum of its proper divisors (4279554920).

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

3330134440 is a wasteful number, since it uses less digits than its factorization.

3330134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 3330134440 is about 57707.3170403893. The cubic root of 3330134440 is about 1493.3235780524.

Adding to 3330134440 its reverse (444310333), we get a palindrome (3774444773).

The spelling of 3330134440 in words is "three billion, three hundred thirty million, one hundred thirty-four thousand, four hundred forty".