3225130128 has 320 divisors, whose sum is σ = 10456473600. Its totient is φ = 951350400.

The previous prime is 3225130109. The next prime is 3225130133. The reversal of 3225130128 is 8210315223.

3225130128 is a `hidden beast` number, since 3 + 22 + 513 + 0 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40824393 + ... + 40824471.

It is an arithmetic number, because the mean of its divisors is an integer number (32676480).

Almost surely, 2^3225130128 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 3225130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228236800).

3225130128 is an abundant number, since it is smaller than the sum of its proper divisors (7231343472).

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

3225130128 is a wasteful number, since it uses less digits than its factorization.

3225130128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3225130128 is about 56790.2291596010. The cubic root of 3225130128 is about 1477.4600530311.

The spelling of 3225130128 in words is "three billion, two hundred twenty-five million, one hundred thirty thousand, one hundred twenty-eight".