3288999168 has 648 divisors, whose sum is σ = 12468220128. Its totient is φ = 856977408.

The previous prime is 3288999143. The next prime is 3288999169. The reversal of 3288999168 is 8619998823.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13436928) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288999169) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39626455 + ... + 39626537.

Almost surely, 2^3288999168 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 3288999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234110064).

3288999168 is an abundant number, since it is smaller than the sum of its proper divisors (9179220960).

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

3288999168 is an equidigital number, since it uses as much as digits as its factorization.

3288999168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The square root of 3288999168 is about 57349.7965820281. The cubic root of 3288999168 is about 1487.1493577201.

The spelling of 3288999168 in words is "three billion, two hundred eighty-eight million, nine hundred ninety-nine thousand, one hundred sixty-eight".