3114480 has 80 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 785664.

The previous prime is 3114479. The next prime is 3114487. The reversal of 3114480 is 844113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219 + ... + 4901.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^3114480 is an apocalyptic number.

3114480 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 3114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

3114480 is an abundant number, since it is smaller than the sum of its proper divisors (7063440).

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

3114480 is a wasteful number, since it uses less digits than its factorization.

3114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3114480 is about 1764.7889392219. The cubic root of 3114480 is about 146.0366455833.

Adding to 3114480 its reverse (844113), we get a palindrome (3958593).

The spelling of 3114480 in words is "three million, one hundred fourteen thousand, four hundred eighty".