3114880 has 64 divisors (see below), whose sum is σ = 7735680. Its totient is φ = 1198080.

The previous prime is 3114871. The next prime is 3114889. The reversal of 3114880 is 884113.

It is an interprime number because it is at equal distance from previous prime (3114871) and next prime (3114889).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19762 + ... + 19918.

It is an arithmetic number, because the mean of its divisors is an integer number (120870).

Almost surely, 2^3114880 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 3114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867840).

3114880 is an abundant number, since it is smaller than the sum of its proper divisors (4620800).

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

3114880 is a wasteful number, since it uses less digits than its factorization.

3114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 3114880 is about 1764.9022635829. The cubic root of 3114880 is about 146.0428972591.

Adding to 3114880 its reverse (884113), we get a palindrome (3998993).

It can be divided in two parts, 31 and 14880, that multiplied together give a triangular number (461280 = T₉₆₀).

The spelling of 3114880 in words is "three million, one hundred fourteen thousand, eight hundred eighty".