3300404040 has 192 divisors, whose sum is σ = 10883386800. Its totient is φ = 867342336.

The previous prime is 3300404039. The next prime is 3300404047. The reversal of 3300404040 is 404040033.

It can be written as a sum of positive squares in 8 ways, for example, as 2375392644 + 925011396 = 48738^2 + 30414^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3300404047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12269026 + ... + 12269294.

Almost surely, 2^3300404040 is an apocalyptic number.

3300404040 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 3300404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441693400).

3300404040 is an abundant number, since it is smaller than the sum of its proper divisors (7582982760).

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

3300404040 is a wasteful number, since it uses less digits than its factorization.

3300404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3300404040 is about 57449.1430745490. The cubic root of 3300404040 is about 1488.8663117869.

Adding to 3300404040 its reverse (404040033), we get a palindrome (3704444073).

The spelling of 3300404040 in words is "three billion, three hundred million, four hundred four thousand, forty".