38874037225 has 27 divisors (see below), whose sum is σ = 49310012887. Its totient is φ = 30401265680.

The previous prime is 38874037217. The next prime is 38874037243. The reversal of 38874037225 is 52273047883.

It is a happy number.

The square root of 38874037225 is 197165.

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

38874037225 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., 13994653401 + 24879383824 = 118299^2 + 157732^2 .

It is not a de Polignac number, because 38874037225 - 2³ = 38874037217 is a prime.

It is a super-2 number, since 2×38874037225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46333356 + ... + 46334194.

Almost surely, 2^38874037225 is an apocalyptic number.

38874037225 is the 197165-th square number.

38874037225 is the 98583-rd centered octagonal number.

It is an amenable number.

38874037225 is a deficient number, since it is larger than the sum of its proper divisors (10435975662).

38874037225 is an frugal number, since it uses more digits than its factorization.

38874037225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

Multiplying 38874037225 by its sum of digits (49), we get a square (1904827824025 = 1380155²).

The spelling of 38874037225 in words is "thirty-eight billion, eight hundred seventy-four million, thirty-seven thousand, two hundred twenty-five".