3288245760 has 320 divisors, whose sum is σ = 11811476160. Its totient is φ = 867041280.

The previous prime is 3288245749. The next prime is 3288245767. The reversal of 3288245760 is 675428823.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288245767) 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, 7810350 + ... + 7810770.

It is an arithmetic number, because the mean of its divisors is an integer number (36910863).

Almost surely, 2^3288245760 is an apocalyptic number.

3288245760 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 3288245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905738080).

3288245760 is an abundant number, since it is smaller than the sum of its proper divisors (8523230400).

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

3288245760 is a wasteful number, since it uses less digits than its factorization.

3288245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3288245760 is about 57343.2276733705. The cubic root of 3288245760 is about 1487.0357957388.

The spelling of 3288245760 in words is "three billion, two hundred eighty-eight million, two hundred forty-five thousand, seven hundred sixty".