3208128880 has 80 divisors (see below), whose sum is σ = 8159299200. Its totient is φ = 1163393280.

The previous prime is 3208128827. The next prime is 3208128881. The reversal of 3208128880 is 888218023.

3208128880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3208128881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328711 + ... + 338329.

It is an arithmetic number, because the mean of its divisors is an integer number (101991240).

Almost surely, 2^3208128880 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 3208128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079649600).

3208128880 is an abundant number, since it is smaller than the sum of its proper divisors (4951170320).

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

3208128880 is a wasteful number, since it uses less digits than its factorization.

3208128880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 3208128880 is about 56640.3467503510. The cubic root of 3208128880 is about 1474.8593381137.

The spelling of 3208128880 in words is "three billion, two hundred eight million, one hundred twenty-eight thousand, eight hundred eighty".