3785080 has 64 divisors (see below), whose sum is σ = 9525600. Its totient is φ = 1344000.

The previous prime is 3785071. The next prime is 3785083. The reversal of 3785080 is 805873.

3785080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14955 + ... + 15205.

Almost surely, 2^3785080 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 3785080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762800).

3785080 is an abundant number, since it is smaller than the sum of its proper divisors (5740520).

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

3785080 is a wasteful number, since it uses less digits than its factorization.

3785080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 3785080 is about 1945.5282059122. The cubic root of 3785080 is about 155.8445745431.

The spelling of 3785080 in words is "three million, seven hundred eighty-five thousand, eighty".