38410120225 has 27 divisors (see below), whose sum is σ = 50291627763. Its totient is φ = 29096717040.

The previous prime is 38410120223. The next prime is 38410120261. The reversal of 38410120225 is 52202101483.

The square root of 38410120225 is 195985.

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

38410120225 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 only one way, i.e., 13827643281 + 24582476944 = 117591^2 + 156788^2 .

It is not a de Polignac number, because 38410120225 - 2¹ = 38410120223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38410120193 and 38410120202.

It is not an unprimeable number, because it can be changed into a prime (38410120223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18617544 + ... + 18619606.

Almost surely, 2^38410120225 is an apocalyptic number.

38410120225 is the 195985-th square number.

38410120225 is the 97993-rd centered octagonal number.

It is an amenable number.

38410120225 is a deficient number, since it is larger than the sum of its proper divisors (11881507538).

38410120225 is an frugal number, since it uses more digits than its factorization.

38410120225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 38410120225 in words is "thirty-eight billion, four hundred ten million, one hundred twenty thousand, two hundred twenty-five".