3628842122304 has 1701 divisors, whose sum is σ = 13915653001887. Its totient is φ = 901209931776.

The previous prime is 3628842122299. The next prime is 3628842122341. The reversal of 3628842122304 is 4032212488263.

The square root of 3628842122304 is 1904952.

It is a perfect power (a square), and thus also a powerful number.

3628842122304 is a `hidden beast` number, since 3 + 6 + 288 + 42 + 1 + 22 + 304 = 666.

3628842122304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 358705166400 + 3270136955904 = 598920^2 + 1808352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3628842122304.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 125132486962 + ... + 125132486990.

Almost surely, 2^{3628842122304} is an apocalyptic number.

3628842122304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3628842122304 is the 1904952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3628842122304

3628842122304 is an abundant number, since it is smaller than the sum of its proper divisors (10286810879583).

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

3628842122304 is a wasteful number, since it uses less digits than its factorization.

3628842122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3628842122304 in words is "three trillion, six hundred twenty-eight billion, eight hundred forty-two million, one hundred twenty-two thousand, three hundred four".