3817588438225 has 81 divisors (see below), whose sum is σ = 5066770783761. Its totient is φ = 2852955518400.

The previous prime is 3817588438129. The next prime is 3817588438231. The reversal of 3817588438225 is 5228348857183.

The square root of 3817588438225 is 1953865.

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

It can be written as a sum of positive squares in 4 ways, for example, as 461716173009 + 3355872265216 = 679497^2 + 1831904^2 .

It is not a de Polignac number, because 3817588438225 - 2²³ = 3817580049617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 24315849847 + ... + 24315850003.

Almost surely, 2^{3817588438225} is an apocalyptic number.

3817588438225 is the 1953865-th square number.

3817588438225 is the 976933-rd centered octagonal number.

It is an amenable number.

3817588438225 is a deficient number, since it is larger than the sum of its proper divisors (1249182345536).

3817588438225 is an equidigital number, since it uses as much as digits as its factorization.

3817588438225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 64.

Multiplying 3817588438225 by its sum of digits (64), we get a square (244325660046400 = 15630920²).

The spelling of 3817588438225 in words is "three trillion, eight hundred seventeen billion, five hundred eighty-eight million, four hundred thirty-eight thousand, two hundred twenty-five".