3288750080 has 384 divisors, whose sum is σ = 10170800640. Its totient is φ = 990904320.

The previous prime is 3288750067. The next prime is 3288750089. The reversal of 3288750080 is 800578823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288750089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33904592 + ... + 33904688.

It is an arithmetic number, because the mean of its divisors is an integer number (26486460).

Almost surely, 2^3288750080 is an apocalyptic number.

3288750080 is the 33110-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3288750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085400320).

3288750080 is an abundant number, since it is smaller than the sum of its proper divisors (6882050560).

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

3288750080 is a wasteful number, since it uses less digits than its factorization.

3288750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 3288750080 is about 57347.6248854301. The cubic root of 3288750080 is about 1487.1118143427. Note that the first 3 decimals are identical.

The spelling of 3288750080 in words is "three billion, two hundred eighty-eight million, seven hundred fifty thousand, eighty".