3330336240 has 720 divisors, whose sum is σ = 14489739264. Its totient is φ = 670602240.

The previous prime is 3330336181. The next prime is 3330336241. The reversal of 3330336240 is 426330333.

3330336240 is a `hidden beast` number, since 3 + 3 + 3 + 0 + 33 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3330336240² = 22182278942914675200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330336241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26223057 + ... + 26223183.

Almost surely, 2^3330336240 is an apocalyptic number.

3330336240 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 3330336240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244869632).

3330336240 is an abundant number, since it is smaller than the sum of its proper divisors (11159403024).

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

3330336240 is a wasteful number, since it uses less digits than its factorization.

3330336240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

The square root of 3330336240 is about 57709.0654923470. The cubic root of 3330336240 is about 1493.3537416606.

Adding to 3330336240 its reverse (426330333), we get a palindrome (3756666573).

The spelling of 3330336240 in words is "three billion, three hundred thirty million, three hundred thirty-six thousand, two hundred forty".