3133872 has 60 divisors (see below), whose sum is σ = 10026640. Its totient is φ = 895104.

The previous prime is 3133861. The next prime is 3133873. The reversal of 3133872 is 2783313.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3133873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547 + ... + 2562.

Almost surely, 2^3133872 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 3133872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013320).

3133872 is an abundant number, since it is smaller than the sum of its proper divisors (6892768).

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

3133872 is a wasteful number, since it uses less digits than its factorization.

3133872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3121 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3133872 is about 1770.2745549773. The cubic root of 3133872 is about 146.3391129053.

It can be divided in two parts, 3133 and 872, that added together give a triangular number (4005 = T₈₉).

The spelling of 3133872 in words is "three million, one hundred thirty-three thousand, eight hundred seventy-two".