3288475008 has 576 divisors, whose sum is σ = 12424089600. Its totient is φ = 815173632.

The previous prime is 3288475007. The next prime is 3288475031. The reversal of 3288475008 is 8005748823.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288475007) 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, 25893441 + ... + 25893567.

It is an arithmetic number, because the mean of its divisors is an integer number (21569600).

Almost surely, 2^3288475008 is an apocalyptic number.

3288475008 is a gapful number since it is divisible by the number (38) 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 3288475008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212044800).

3288475008 is an abundant number, since it is smaller than the sum of its proper divisors (9135614592).

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

3288475008 is a wasteful number, since it uses less digits than its factorization.

3288475008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3288475008 is about 57345.2265493825. The cubic root of 3288475008 is about 1487.0703523672.

The spelling of 3288475008 in words is "three billion, two hundred eighty-eight million, four hundred seventy-five thousand, eight".