3181648512 has 256 divisors, whose sum is σ = 10279249920. Its totient is φ = 852234240.

The previous prime is 3181648511. The next prime is 3181648517. The reversal of 3181648512 is 2158461813.

It is not an unprimeable number, because it can be changed into a prime (3181648511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3276187 + ... + 3277157.

It is an arithmetic number, because the mean of its divisors is an integer number (40153320).

Almost surely, 2^3181648512 is an apocalyptic number.

3181648512 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 3181648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139624960).

3181648512 is an abundant number, since it is smaller than the sum of its proper divisors (7097601408).

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

3181648512 is a wasteful number, since it uses less digits than its factorization.

3181648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 3181648512 is about 56406.1034995327. The cubic root of 3181648512 is about 1470.7902197686.

It can be divided in two parts, 318 and 1648512, that multiplied together give a square (524226816 = 22896²).

The spelling of 3181648512 in words is "three billion, one hundred eighty-one million, six hundred forty-eight thousand, five hundred twelve".