3905580 has 96 divisors (see below), whose sum is σ = 13257216. Its totient is φ = 838656.

The previous prime is 3905543. The next prime is 3905599. The reversal of 3905580 is 855093.

3905580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3905580³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 6867 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (138096).

Almost surely, 2^3905580 is an apocalyptic number.

3905580 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 3905580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628608).

3905580 is an abundant number, since it is smaller than the sum of its proper divisors (9351636).

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

3905580 is a wasteful number, since it uses less digits than its factorization.

3905580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 3905580 is about 1976.2540322540. The cubic root of 3905580 is about 157.4811264862.

The spelling of 3905580 in words is "three million, nine hundred five thousand, five hundred eighty".