3788128 has 24 divisors (see below), whose sum is σ = 7634088. Its totient is φ = 1849344.

The previous prime is 3788117. The next prime is 3788159. The reversal of 3788128 is 8218873.

3788128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3788128 is a nontrivial binomial coefficient, being equal to C(2753, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 2752.

It is an arithmetic number, because the mean of its divisors is an integer number (318087).

Almost surely, 2^3788128 is an apocalyptic number.

3788128 is the 2752-nd triangular number.

3788128 is the 918-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3788128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817044).

3788128 is an abundant number, since it is smaller than the sum of its proper divisors (3845960).

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

3788128 is a wasteful number, since it uses less digits than its factorization.

3788128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2798 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 3788128 is about 1946.3113831039. The cubic root of 3788128 is about 155.8863954836.

It can be divided in two parts, 3788 and 128, that added together give a triangular number (3916 = T₈₈).

The spelling of 3788128 in words is "three million, seven hundred eighty-eight thousand, one hundred twenty-eight".