3112980 has 72 divisors (see below), whose sum is σ = 9469152. Its totient is φ = 763776.

The previous prime is 3112973. The next prime is 3112987. The reversal of 3112980 is 892113.

It is an interprime number because it is at equal distance from previous prime (3112973) and next prime (3112987).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3112980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9987 + ... + 10293.

It is an arithmetic number, because the mean of its divisors is an integer number (131516).

Almost surely, 2^3112980 is an apocalyptic number.

3112980 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 3112980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734576).

3112980 is an abundant number, since it is smaller than the sum of its proper divisors (6356172).

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

3112980 is a wasteful number, since it uses less digits than its factorization.

3112980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 3112980 is about 1764.3639080416. The cubic root of 3112980 is about 146.0131970306.

The spelling of 3112980 in words is "three million, one hundred twelve thousand, nine hundred eighty".