3208128 has 168 divisors, whose sum is σ = 11119104. Its totient is φ = 806400.

The previous prime is 3208123. The next prime is 3208151. The reversal of 3208128 is 8218023.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3208098 and 3208107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3208123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103473 + ... + 103503.

Almost surely, 2^3208128 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 3208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552).

3208128 is an abundant number, since it is smaller than the sum of its proper divisors (7910976).

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

3208128 is a wasteful number, since it uses less digits than its factorization.

3208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3208128 is about 1791.1247862726. The cubic root of 3208128 is about 147.4859203261.

It can be divided in two parts, 320 and 8128, that added together give a palindrome (8448).

The spelling of 3208128 in words is "three million, two hundred eight thousand, one hundred twenty-eight".