3481980 has 48 divisors (see below), whose sum is σ = 9846144. Its totient is φ = 919360.

The previous prime is 3481979. The next prime is 3481999. The reversal of 3481980 is 891843.

3481980 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 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 15 ways as a sum of consecutive naturals, for example, 7639 + ... + 8081.

It is an arithmetic number, because the mean of its divisors is an integer number (205128).

Almost surely, 2^3481980 is an apocalyptic number.

3481980 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 3481980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923072).

3481980 is an abundant number, since it is smaller than the sum of its proper divisors (6364164).

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

3481980 is a wasteful number, since it uses less digits than its factorization.

3481980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 3481980 is about 1866.0064308571. The cubic root of 3481980 is about 151.5684318718.

The spelling of 3481980 in words is "three million, four hundred eighty-one thousand, nine hundred eighty".