3106980 has 72 divisors (see below), whose sum is σ = 9677304. Its totient is φ = 806400.

The previous prime is 3106969. The next prime is 3106981. The reversal of 3106980 is 896013.

3106980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 2802276 = 552^2 + 1674^2 .

It is a Smith number, since the sum of its digits (27) 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 (3106981) 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 23 ways as a sum of consecutive naturals, for example, 7170 + ... + 7590.

It is an arithmetic number, because the mean of its divisors is an integer number (134407).

Almost surely, 2^3106980 is an apocalyptic number.

3106980 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 3106980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838652).

3106980 is an abundant number, since it is smaller than the sum of its proper divisors (6570324).

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

3106980 is a wasteful number, since it uses less digits than its factorization.

3106980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3106980 is about 1762.6627584425. The cubic root of 3106980 is about 145.9193274222.

The spelling of 3106980 in words is "three million, one hundred six thousand, nine hundred eighty".