3931128 has 48 divisors (see below), whose sum is σ = 10810800. Its totient is φ = 1290240.

The previous prime is 3931093. The next prime is 3931159. The reversal of 3931128 is 8211393.

It is a super-3 number, since 3×3931128³ (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4728 + ... + 5496.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 2^3931128 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 3931128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405400).

3931128 is an abundant number, since it is smaller than the sum of its proper divisors (6879672).

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

3931128 is a wasteful number, since it uses less digits than its factorization.

3931128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 3931128 is about 1982.7072401139. The cubic root of 3931128 is about 157.8237633303.

It can be divided in two parts, 393 and 1128, that added together give a square (1521 = 39²).

The spelling of 3931128 in words is "three million, nine hundred thirty-one thousand, one hundred twenty-eight".