3204625095072 has 384 divisors, whose sum is σ = 10157401094400. Its totient is φ = 979498303488.

The previous prime is 3204625095031. The next prime is 3204625095083. The reversal of 3204625095072 is 2705905264023.

3204625095072 is a `hidden beast` number, since 3 + 20 + 4 + 6 + 2 + 509 + 50 + 72 = 666.

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 63 ways as a sum of consecutive naturals, for example, 117212988 + ... + 117240324.

It is an arithmetic number, because the mean of its divisors is an integer number (26451565350).

Almost surely, 2^{3204625095072} is an apocalyptic number.

3204625095072 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 3204625095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078700547200).

3204625095072 is an abundant number, since it is smaller than the sum of its proper divisors (6952775999328).

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

3204625095072 is a wasteful number, since it uses less digits than its factorization.

3204625095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27605 (or 27591 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3204625095072 in words is "three trillion, two hundred four billion, six hundred twenty-five million, ninety-five thousand, seventy-two".