3131628032 has 80 divisors (see below), whose sum is σ = 7093400160. Its totient is φ = 1369239552.

The previous prime is 3131628007. The next prime is 3131628061. The reversal of 3131628032 is 2308261313.

It is a junction number, because it is equal to n+sod(n) for n = 3131627986 and 3131628004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114083 + ... + 138845.

It is an arithmetic number, because the mean of its divisors is an integer number (88667502).

Almost surely, 2^3131628032 is an apocalyptic number.

3131628032 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 3131628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546700080).

3131628032 is an abundant number, since it is smaller than the sum of its proper divisors (3961772128).

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

3131628032 is a wasteful number, since it uses less digits than its factorization.

3131628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24813 (or 24797 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3131628032 is about 55960.9509568949. The cubic root of 3131628032 is about 1463.0417649705.

Adding to 3131628032 its reverse (2308261313), we get a palindrome (5439889345).

The spelling of 3131628032 in words is "three billion, one hundred thirty-one million, six hundred twenty-eight thousand, thirty-two".