3188328 has 64 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 890880.

The previous prime is 3188323. The next prime is 3188369. The reversal of 3188328 is 8238813.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3188323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2968 + ... + 3896.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 2^3188328 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 3188328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3188328 is an abundant number, since it is smaller than the sum of its proper divisors (6186072).

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

3188328 is a wasteful number, since it uses less digits than its factorization.

3188328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 3188328 is about 1785.5889784606. The cubic root of 3188328 is about 147.1818749343.

It can be divided in two parts, 318 and 8328, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 3188328 in words is "three million, one hundred eighty-eight thousand, three hundred twenty-eight".