3117480 has 64 divisors (see below), whose sum is σ = 9495360. Its totient is φ = 818688.

The previous prime is 3117479. The next prime is 3117481. The reversal of 3117480 is 847113.

3117480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3117479) and next prime (3117481).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3117480.

It is not an unprimeable number, because it can be changed into a prime (3117481) 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 15 ways as a sum of consecutive naturals, for example, 9804 + ... + 10116.

It is an arithmetic number, because the mean of its divisors is an integer number (148365).

Almost surely, 2^3117480 is an apocalyptic number.

3117480 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 3117480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747680).

3117480 is an abundant number, since it is smaller than the sum of its proper divisors (6377880).

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

3117480 is a wasteful number, since it uses less digits than its factorization.

3117480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 3117480 is about 1765.6386946372. The cubic root of 3117480 is about 146.0835201117.

The spelling of 3117480 in words is "three million, one hundred seventeen thousand, four hundred eighty".