3313982080 has 64 divisors (see below), whose sum is σ = 7957738080. Its totient is φ = 1319695360.

The previous prime is 3313982059. The next prime is 3313982081. The reversal of 3313982080 is 802893133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3313982080² = 21964954453122252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3313982081) 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 7 ways as a sum of consecutive naturals, for example, 133875 + ... + 156685.

Almost surely, 2^3313982080 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 3313982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978869040).

3313982080 is an abundant number, since it is smaller than the sum of its proper divisors (4643756000).

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

3313982080 is a wasteful number, since it uses less digits than its factorization.

3313982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23057 (or 23045 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3313982080 is about 57567.1962145109. The cubic root of 3313982080 is about 1490.9052769358.

The spelling of 3313982080 in words is "three billion, three hundred thirteen million, nine hundred eighty-two thousand, eighty".