3330582960 has 160 divisors (see below), whose sum is σ = 11219281920. Its totient is φ = 814233600.

The previous prime is 3330582947. The next prime is 3330582961. The reversal of 3330582960 is 692850333.

It is a super-2 number, since 2×3330582960² = 22185565706884723200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330582961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 129580 + ... + 153140.

It is an arithmetic number, because the mean of its divisors is an integer number (70120512).

Almost surely, 2^3330582960 is an apocalyptic number.

3330582960 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 3330582960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609640960).

3330582960 is an abundant number, since it is smaller than the sum of its proper divisors (7888698960).

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

3330582960 is a wasteful number, since it uses less digits than its factorization.

3330582960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23627 (or 23621 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3330582960 is about 57711.2030718473. The cubic root of 3330582960 is about 1493.3906179308.

The spelling of 3330582960 in words is "three billion, three hundred thirty million, five hundred eighty-two thousand, nine hundred sixty".