3315271680 has 480 divisors, whose sum is σ = 13604310720. Its totient is φ = 756449280.

The previous prime is 3315271679. The next prime is 3315271691. The reversal of 3315271680 is 861725133.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805795 + ... + 5806365.

It is an arithmetic number, because the mean of its divisors is an integer number (28342314).

Almost surely, 2^3315271680 is an apocalyptic number.

3315271680 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 3315271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802155360).

3315271680 is an abundant number, since it is smaller than the sum of its proper divisors (10289039040).

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

3315271680 is an equidigital number, since it uses as much as digits as its factorization.

3315271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3315271680 is about 57578.3959484805. The cubic root of 3315271680 is about 1491.0986417013.

The spelling of 3315271680 in words is "three billion, three hundred fifteen million, two hundred seventy-one thousand, six hundred eighty".