3905980 has 48 divisors (see below), whose sum is σ = 8989344. Its totient is φ = 1416960.

The previous prime is 3905953. The next prime is 3905987. The reversal of 3905980 is 895093.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905987) 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, 21490 + ... + 21670.

It is an arithmetic number, because the mean of its divisors is an integer number (187278).

Almost surely, 2^3905980 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 3905980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494672).

3905980 is an abundant number, since it is smaller than the sum of its proper divisors (5083364).

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

3905980 is a wasteful number, since it uses less digits than its factorization.

3905980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 3905980 is about 1976.3552312274. The cubic root of 3905980 is about 157.4865025806.

The spelling of 3905980 in words is "three million, nine hundred five thousand, nine hundred eighty".