3202720128 has 256 divisors, whose sum is σ = 9767520000. Its totient is φ = 1032708096.

The previous prime is 3202720097. The next prime is 3202720153. The reversal of 3202720128 is 8210272023.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23041083 + ... + 23041221.

It is an arithmetic number, because the mean of its divisors is an integer number (38154375).

Almost surely, 2^3202720128 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 3202720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883760000).

3202720128 is an abundant number, since it is smaller than the sum of its proper divisors (6564799872).

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

3202720128 is a wasteful number, since it uses less digits than its factorization.

3202720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3202720128 is about 56592.5801496981. The cubic root of 3202720128 is about 1474.0300244205.

The spelling of 3202720128 in words is "three billion, two hundred two million, seven hundred twenty thousand, one hundred twenty-eight".