3327128 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 1302912.

The previous prime is 3327101. The next prime is 3327167. The reversal of 3327128 is 8217233.

It is a super-2 number, since 2×3327128² = 22139561456768, which contains 22 as substring.

Its product of digits (2016) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3327097 and 3327106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56363 + ... + 56421.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 2^3327128 is an apocalyptic number.

3327128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3327128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

3327128 is an abundant number, since it is smaller than the sum of its proper divisors (4448872).

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

3327128 is a wasteful number, since it uses less digits than its factorization.

3327128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 3327128 is about 1824.0416661908. The cubic root of 3327128 is about 149.2874052709.

The spelling of 3327128 in words is "three million, three hundred twenty-seven thousand, one hundred twenty-eight".