3353282240 has 448 divisors, whose sum is σ = 10667317248. Its totient is φ = 973209600.

The previous prime is 3353282239. The next prime is 3353282297. The reversal of 3353282240 is 422823533.

3353282240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3353282240² = 22489003562198835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3353282197 and 3353282206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34569872 + ... + 34569968.

It is an arithmetic number, because the mean of its divisors is an integer number (23810976).

Almost surely, 2^3353282240 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 3353282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333658624).

3353282240 is an abundant number, since it is smaller than the sum of its proper divisors (7314035008).

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

3353282240 is a wasteful number, since it uses less digits than its factorization.

3353282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 3353282240 is about 57907.5318071838. The cubic root of 3353282240 is about 1496.7756279905.

The spelling of 3353282240 in words is "three billion, three hundred fifty-three million, two hundred eighty-two thousand, two hundred forty".