3117672 has 96 divisors (see below), whose sum is σ = 9266400. Its totient is φ = 943488.

The previous prime is 3117661. The next prime is 3117679. The reversal of 3117672 is 2767113.

3117672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3117679) 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 23 ways as a sum of consecutive naturals, for example, 58798 + ... + 58850.

It is an arithmetic number, because the mean of its divisors is an integer number (96525).

Almost surely, 2^3117672 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 3117672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633200).

3117672 is an abundant number, since it is smaller than the sum of its proper divisors (6148728).

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

3117672 is a wasteful number, since it uses less digits than its factorization.

3117672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 3117672 is about 1765.6930650597. The cubic root of 3117672 is about 146.0865190574.

The spelling of 3117672 in words is "three million, one hundred seventeen thousand, six hundred seventy-two".