3323343342240 has 288 divisors, whose sum is σ = 11402737491600. Its totient is φ = 881406738432.

The previous prime is 3323343342223. The next prime is 3323343342269. The reversal of 3323343342240 is 422433433233.

3323343342240 is a `hidden beast` number, since 3 + 3 + 2 + 33 + 43 + 342 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3058707175056 + 264636167184 = 1748916^2 + 514428^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3323343342240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3323343342195 and 3323343342204.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 199507992 + ... + 199524648.

Almost surely, 2^{3323343342240} is an apocalyptic number.

3323343342240 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 3323343342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701368745800).

3323343342240 is an abundant number, since it is smaller than the sum of its proper divisors (8079394149360).

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

3323343342240 is a wasteful number, since it uses less digits than its factorization.

3323343342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17424 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 3323343342240 its reverse (422433433233), we get a palindrome (3745776775473).

The spelling of 3323343342240 in words is "three trillion, three hundred twenty-three billion, three hundred forty-three million, three hundred forty-two thousand, two hundred forty".