3785320 has 64 divisors (see below), whose sum is σ = 10627200. Its totient is φ = 1178880.

The previous prime is 3785303. The next prime is 3785323. The reversal of 3785320 is 235873.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 2466 + ... + 3694.

It is an arithmetic number, because the mean of its divisors is an integer number (166050).

Almost surely, 2^3785320 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 3785320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313600).

3785320 is an abundant number, since it is smaller than the sum of its proper divisors (6841880).

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

3785320 is a wasteful number, since it uses less digits than its factorization.

3785320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3785320 is about 1945.5898848421. The cubic root of 3785320 is about 155.8478683447.

It can be divided in two parts, 37853 and 20, that added together give a palindrome (37873).

The spelling of 3785320 in words is "three million, seven hundred eighty-five thousand, three hundred twenty".