38820820900 has 243 divisors, whose sum is σ = 96019496937. Its totient is φ = 13618713600.

The previous prime is 38820820889. The next prime is 38820820901. The reversal of 38820820900 is 902802883.

The square root of 38820820900 is 197030.

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

38820820900 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 13 ways, for example, as 34627999396 + 4192821504 = 186086^2 + 64752^2 .

It is a super-2 number, since 2×38820820900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38820820901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 636406870 + ... + 636406930.

Almost surely, 2^38820820900 is an apocalyptic number.

38820820900 is the 197030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38820820900

38820820900 is an abundant number, since it is smaller than the sum of its proper divisors (57198676037).

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

38820820900 is a wasteful number, since it uses less digits than its factorization.

38820820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 38820820900 in words is "thirty-eight billion, eight hundred twenty million, eight hundred twenty thousand, nine hundred".