3131952 has 40 divisors (see below), whose sum is σ = 8213760. Its totient is φ = 1028160.

The previous prime is 3131951. The next prime is 3131977. The reversal of 3131952 is 2591313.

It is a happy number.

3131952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3131951) 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 7 ways as a sum of consecutive naturals, for example, 2949 + ... + 3867.

It is an arithmetic number, because the mean of its divisors is an integer number (205344).

Almost surely, 2^3131952 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 3131952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106880).

3131952 is an abundant number, since it is smaller than the sum of its proper divisors (5081808).

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

3131952 is a wasteful number, since it uses less digits than its factorization.

3131952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 3131952 is about 1769.7321831283. The cubic root of 3131952 is about 146.3092213956.

The spelling of 3131952 in words is "three million, one hundred thirty-one thousand, nine hundred fifty-two".