3300420240 has 240 divisors, whose sum is σ = 12163565232. Its totient is φ = 796962816.

The previous prime is 3300420191. The next prime is 3300420257. The reversal of 3300420240 is 420240033.

3300420240 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 420 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 667498896 + 2632921344 = 25836^2 + 51312^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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, 492754 + ... + 499406.

Almost surely, 2^3300420240 is an apocalyptic number.

3300420240 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 3300420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081782616).

3300420240 is an abundant number, since it is smaller than the sum of its proper divisors (8863144992).

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

3300420240 is a wasteful number, since it uses less digits than its factorization.

3300420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6729 counting only the distinct ones).

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

The square root of 3300420240 is about 57449.2840686461. The cubic root of 3300420240 is about 1488.8687478113.

Adding to 3300420240 its reverse (420240033), we get a palindrome (3720660273).

The spelling of 3300420240 in words is "three billion, three hundred million, four hundred twenty thousand, two hundred forty".