3288808440 has 384 divisors, whose sum is σ = 11975947200. Its totient is φ = 802160640.

The previous prime is 3288808429. The next prime is 3288808447. The reversal of 3288808440 is 448088823.

It is a happy number.

3288808440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3288808447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12796792 + ... + 12797048.

Almost surely, 2^3288808440 is an apocalyptic number.

3288808440 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 3288808440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987973600).

3288808440 is an abundant number, since it is smaller than the sum of its proper divisors (8687138760).

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

3288808440 is a wasteful number, since it uses less digits than its factorization.

3288808440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 3288808440 is about 57348.1337098253. The cubic root of 3288808440 is about 1487.1206107274.

The spelling of 3288808440 in words is "three billion, two hundred eighty-eight million, eight hundred eight thousand, four hundred forty".