3826128 has 40 divisors (see below), whose sum is σ = 10019200. Its totient is φ = 1257984.

The previous prime is 3826019. The next prime is 3826157. The reversal of 3826128 is 8216283.

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

It is a junction number, because it is equal to n+sod(n) for n = 3826095 and 3826104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3288 + ... + 4296.

It is an arithmetic number, because the mean of its divisors is an integer number (250480).

Almost surely, 2^3826128 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 3826128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009600).

3826128 is an abundant number, since it is smaller than the sum of its proper divisors (6193072).

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

3826128 is a wasteful number, since it uses less digits than its factorization.

3826128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 3826128 is about 1956.0490791389. The cubic root of 3826128 is about 156.4059120002.

The spelling of 3826128 in words is "three million, eight hundred twenty-six thousand, one hundred twenty-eight".