3822337806400 has 189 divisors, whose sum is σ = 9673731601317. Its totient is φ = 1486486425600.

The previous prime is 3822337806379. The next prime is 3822337806407. The reversal of 3822337806400 is 46087332283.

The square root of 3822337806400 is 1955080.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5284708416 + 3817053097984 = 72696^2 + 1953728^2 .

It is a super-2 number, since 2×3822337806400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3822337806407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2893517740 + ... + 2893519060.

Almost surely, 2^{3822337806400} is an apocalyptic number.

3822337806400 is the 1955080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3822337806400

3822337806400 is an abundant number, since it is smaller than the sum of its proper divisors (5851393794917).

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

3822337806400 is an frugal number, since it uses more digits than its factorization.

3822337806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 3822337806400 in words is "three trillion, eight hundred twenty-two billion, three hundred thirty-seven million, eight hundred six thousand, four hundred".