3117312 has 144 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 921600.

The previous prime is 3117299. The next prime is 3117421. The reversal of 3117312 is 2137113.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76012 + ... + 76052.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

Almost surely, 2^3117312 is an apocalyptic number.

3117312 is a gapful number since it is divisible by the number (32) 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 3117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

3117312 is an abundant number, since it is smaller than the sum of its proper divisors (7184448).

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

3117312 is a wasteful number, since it uses less digits than its factorization.

3117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 3117312 is about 1765.5911191440. The cubic root of 3117312 is about 146.0808959331.

The spelling of 3117312 in words is "three million, one hundred seventeen thousand, three hundred twelve".