3604968322272 has 144 divisors (see below), whose sum is σ = 10373915326320. Its totient is φ = 1187340650496.

The previous prime is 3604968322211. The next prime is 3604968322327. The reversal of 3604968322272 is 2722238694063.

3604968322272 is a `hidden beast` number, since 3 + 6 + 0 + 49 + 6 + 8 + 322 + 272 = 666.

3604968322272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37964838 + ... + 38059674.

It is an arithmetic number, because the mean of its divisors is an integer number (72041078655).

Almost surely, 2^{3604968322272} is an apocalyptic number.

3604968322272 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 3604968322272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186957663160).

3604968322272 is an abundant number, since it is smaller than the sum of its proper divisors (6768947004048).

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

3604968322272 is a wasteful number, since it uses less digits than its factorization.

3604968322272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96425 (or 96414 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3604968322272 in words is "three trillion, six hundred four billion, nine hundred sixty-eight million, three hundred twenty-two thousand, two hundred seventy-two".