3128260608 has 384 divisors, whose sum is σ = 10456992000. Its totient is φ = 915701760.

The previous prime is 3128260607. The next prime is 3128260669. The reversal of 3128260608 is 8060628213.

3128260608 is a `hidden beast` number, since 3 + 1 + 28 + 26 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128260607) 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, 22505403 + ... + 22505541.

It is an arithmetic number, because the mean of its divisors is an integer number (27231750).

Almost surely, 2^3128260608 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 3128260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496000).

3128260608 is an abundant number, since it is smaller than the sum of its proper divisors (7328731392).

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

3128260608 is a wasteful number, since it uses less digits than its factorization.

3128260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3128260608 is about 55930.8555986765. The cubic root of 3128260608 is about 1462.5171763926.

The spelling of 3128260608 in words is "three billion, one hundred twenty-eight million, two hundred sixty thousand, six hundred eight".