3242616832 has 192 divisors, whose sum is σ = 8101416960. Its totient is φ = 1263403008.

The previous prime is 3242616827. The next prime is 3242616877. The reversal of 3242616832 is 2386162423.

It is a junction number, because it is equal to n+sod(n) for n = 3242616791 and 3242616800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23668668 + ... + 23668804.

It is an arithmetic number, because the mean of its divisors is an integer number (42194880).

Almost surely, 2^3242616832 is an apocalyptic number.

3242616832 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 3242616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050708480).

3242616832 is an abundant number, since it is smaller than the sum of its proper divisors (4858800128).

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

3242616832 is a wasteful number, since it uses less digits than its factorization.

3242616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 3242616832 is about 56943.9797695946. The cubic root of 3242616832 is about 1480.1255116347.

The spelling of 3242616832 in words is "three billion, two hundred forty-two million, six hundred sixteen thousand, eight hundred thirty-two".