3785328 has 60 divisors (see below), whose sum is σ = 10742368. Its totient is φ = 1244160.

The previous prime is 3785323. The next prime is 3785347. The reversal of 3785328 is 8235873.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3785292 and 3785301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13833 + ... + 14103.

Almost surely, 2^3785328 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 3785328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371184).

3785328 is an abundant number, since it is smaller than the sum of its proper divisors (6957040).

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

3785328 is a wasteful number, since it uses less digits than its factorization.

3785328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3785328 is about 1945.5919407728. The cubic root of 3785328 is about 155.8479781357.

The spelling of 3785328 in words is "three million, seven hundred eighty-five thousand, three hundred twenty-eight".