38122844896900 has 243 divisors, whose sum is σ = 86226308109039. Its totient is φ = 14629996832640.

The previous prime is 38122844896897. The next prime is 38122844896957. The reversal of 38122844896900 is 969844822183.

It is a happy number.

The square root of 38122844896900 is 6174370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4196786543236 + 33926058353664 = 2048606^2 + 5824608^2 .

It is a super-2 number, since 2×38122844896900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 220363265214 + ... + 220363265386.

Almost surely, 2^{38122844896900} is an apocalyptic number.

38122844896900 is the 6174370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38122844896900

38122844896900 is an abundant number, since it is smaller than the sum of its proper divisors (48103463212139).

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

38122844896900 is an equidigital number, since it uses as much as digits as its factorization.

38122844896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 64.

The spelling of 38122844896900 in words is "thirty-eight trillion, one hundred twenty-two billion, eight hundred forty-four million, eight hundred ninety-six thousand, nine hundred".