3340330560 has 336 divisors, whose sum is σ = 13332049536. Its totient is φ = 751804416.

The previous prime is 3340330559. The next prime is 3340330579. The reversal of 3340330560 is 650330433.

3340330560 is a `hidden beast` number, since 33 + 40 + 3 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3340330560² = 22315616500139827200, which contains 22 as substring.

It is a congruent number.

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, 1349484 + ... + 1351956.

Almost surely, 2^3340330560 is an apocalyptic number.

3340330560 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 3340330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666024768).

3340330560 is an abundant number, since it is smaller than the sum of its proper divisors (9991718976).

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

3340330560 is a wasteful number, since it uses less digits than its factorization.

3340330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 3340330560 is about 57795.5929115707. The cubic root of 3340330560 is about 1494.8460984811.

Adding to 3340330560 its reverse (650330433), we get a palindrome (3990660993).

The spelling of 3340330560 in words is "three billion, three hundred forty million, three hundred thirty thousand, five hundred sixty".