3231126648 has 96 divisors (see below), whose sum is σ = 8876977200. Its totient is φ = 1061627904.

The previous prime is 3231126631. The next prime is 3231126667. The reversal of 3231126648 is 8466211323.

3231126648 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 1 + 2 + 6 + 648 = 666.

It is a Cunningham number, because it is equal to 56843²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2045523 + ... + 2047101.

Almost surely, 2^3231126648 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 3231126648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438488600).

3231126648 is an abundant number, since it is smaller than the sum of its proper divisors (5645850552).

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

3231126648 is a wasteful number, since it uses less digits than its factorization.

3231126648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3231126648 is about 56842.9999912038. Note that the first 5 decimals coincide. The cubic root of 3231126648 is about 1478.3751720229.

The spelling of 3231126648 in words is "three billion, two hundred thirty-one million, one hundred twenty-six thousand, six hundred forty-eight".