3204352075680 has 432 divisors, whose sum is σ = 12761121469824. Its totient is φ = 730063272960.

The previous prime is 3204352075679. The next prime is 3204352075697. The reversal of 3204352075680 is 865702534023.

3204352075680 is a `hidden beast` number, since 3 + 2 + 0 + 43 + 520 + 7 + 5 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21871149 + ... + 22017171.

It is an arithmetic number, because the mean of its divisors is an integer number (29539633032).

Almost surely, 2^{3204352075680} is an apocalyptic number.

3204352075680 is a gapful number since it is divisible by the number (30) 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 3204352075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380560734912).

3204352075680 is an abundant number, since it is smaller than the sum of its proper divisors (9556769394144).

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

3204352075680 is a wasteful number, since it uses less digits than its factorization.

3204352075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146369 (or 146351 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3204352075680 in words is "three trillion, two hundred four billion, three hundred fifty-two million, seventy-five thousand, six hundred eighty".