37738890225 has 63 divisors (see below), whose sum is σ = 70211031163. Its totient is φ = 20113421040.

The previous prime is 37738890197. The next prime is 37738890253. The reversal of 37738890225 is 52209883773.

The square root of 37738890225 is 194265.

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

37738890225 is a `hidden beast` number, since 37 + 7 + 388 + 9 + 0 + 225 = 666.

37738890225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37738890197) and next prime (37738890253).

It can be written as a sum of positive squares in only one way, i.e., 13586000481 + 24152889744 = 116559^2 + 155412^2 .

It is not a de Polignac number, because 37738890225 - 2¹³ = 37738882033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 26225056 + ... + 26226494.

Almost surely, 2^37738890225 is an apocalyptic number.

37738890225 is the 194265-th square number.

37738890225 is the 97133-rd centered octagonal number.

It is an amenable number.

37738890225 is a deficient number, since it is larger than the sum of its proper divisors (32472140938).

37738890225 is an frugal number, since it uses more digits than its factorization.

37738890225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 37738890225 in words is "thirty-seven billion, seven hundred thirty-eight million, eight hundred ninety thousand, two hundred twenty-five".