3801980 has 48 divisors (see below), whose sum is σ = 9831360. Its totient is φ = 1202688.

The previous prime is 3801977. The next prime is 3801983. The reversal of 3801980 is 891083.

It is a happy number.

3801980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3801977) and next prime (3801983).

3801980 is a modest number, since divided by 1980 gives 380 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801983) 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, 776 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (204820).

Almost surely, 2^3801980 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 3801980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915680).

3801980 is an abundant number, since it is smaller than the sum of its proper divisors (6029380).

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

3801980 is a wasteful number, since it uses less digits than its factorization.

3801980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 3801980 is about 1949.8666621080. The cubic root of 3801980 is about 156.0761736251.

The spelling of 3801980 in words is "three million, eight hundred one thousand, nine hundred eighty".