3281080320 has 312 divisors, whose sum is σ = 13002852096. Its totient is φ = 749666304.

The previous prime is 3281080307. The next prime is 3281080343. The reversal of 3281080320 is 230801823.

3281080320 is a `hidden beast` number, since 328 + 10 + 8 + 0 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288969 + ... + 1291511.

It is an arithmetic number, because the mean of its divisors is an integer number (41675808).

Almost surely, 2^3281080320 is an apocalyptic number.

3281080320 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 3281080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501426048).

3281080320 is an abundant number, since it is smaller than the sum of its proper divisors (9721771776).

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

3281080320 is a wasteful number, since it uses less digits than its factorization.

3281080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3281080320 is about 57280.7150793354. The cubic root of 3281080320 is about 1485.9548734082.

The spelling of 3281080320 in words is "three billion, two hundred eighty-one million, eighty thousand, three hundred twenty".