38219225908900 has 81 divisors (see below), whose sum is σ = 86701625027521. Its totient is φ = 14622464142880.

The previous prime is 38219225908861. The next prime is 38219225908901. The reversal of 38219225908900 is 980952291283.

The square root of 38219225908900 is 6182170.

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

It can be written as a sum of positive squares in only one way, i.e., 13758921327204 + 24460304581696 = 3709302^2 + 4945736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38219225908901) 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, 1421885661 + ... + 1421912539.

Almost surely, 2^{38219225908900} is an apocalyptic number.

38219225908900 is the 6182170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38219225908900

38219225908900 is an abundant number, since it is smaller than the sum of its proper divisors (48482399118621).

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

38219225908900 is an frugal number, since it uses more digits than its factorization.

38219225908900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53818 (or 26909 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The spelling of 38219225908900 in words is "thirty-eight trillion, two hundred nineteen billion, two hundred twenty-five million, nine hundred eight thousand, nine hundred".