3803580 has 144 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 860160.

The previous prime is 3803561. The next prime is 3803581. The reversal of 3803580 is 853083.

3803580 is a `hidden beast` number, since 3 + 80 + 3 + 580 = 666.

3803580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803581) 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 47 ways as a sum of consecutive naturals, for example, 33604 + ... + 33716.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 2^3803580 is an apocalyptic number.

3803580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3803580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352).

3803580 is an abundant number, since it is smaller than the sum of its proper divisors (9641124).

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

3803580 is a wasteful number, since it uses less digits than its factorization.

3803580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3803580 is about 1950.2769034165. The cubic root of 3803580 is about 156.0980645746.

The spelling of 3803580 in words is "three million, eight hundred three thousand, five hundred eighty".