3330106560 has 448 divisors, whose sum is σ = 13176138240. Its totient is φ = 784650240.

The previous prime is 3330106531. The next prime is 3330106601. The reversal of 3330106560 is 656010333.

3330106560 is a `hidden beast` number, since 3 + 3 + 3 + 0 + 1 + 0 + 656 + 0 = 666.

It is a super-2 number, since 2×3330106560² = 22179219401910067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3516007 + ... + 3516953.

Almost surely, 2^3330106560 is an apocalyptic number.

3330106560 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 3330106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588069120).

3330106560 is an abundant number, since it is smaller than the sum of its proper divisors (9846031680).

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

3330106560 is a wasteful number, since it uses less digits than its factorization.

3330106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3330106560 is about 57707.0754760627. The cubic root of 3330106560 is about 1493.3194106553.

Adding to 3330106560 its reverse (656010333), we get a palindrome (3986116893).

The spelling of 3330106560 in words is "three billion, three hundred thirty million, one hundred six thousand, five hundred sixty".