3200128 has 32 divisors (see below), whose sum is σ = 6658560. Its totient is φ = 1529088.

The previous prime is 3200123. The next prime is 3200129. The reversal of 3200128 is 8210023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2401 + ... + 3487.

It is an arithmetic number, because the mean of its divisors is an integer number (208080).

Almost surely, 2^3200128 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 3200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329280).

3200128 is an abundant number, since it is smaller than the sum of its proper divisors (3458432).

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

3200128 is a wasteful number, since it uses less digits than its factorization.

3200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3200128 is about 1788.8901587297. The cubic root of 3200128 is about 147.3632247362.

It can be divided in two parts, 3200 and 128, that multiplied together give a square (409600 = 640²).

The spelling of 3200128 in words is "three million, two hundred thousand, one hundred twenty-eight".