1038638341 has 16 divisors (see below), whose sum is σ = 1191380400. Its totient is φ = 902313984.

The previous prime is 1038638317. The next prime is 1038638351. The reversal of 1038638341 is 1438368301.

It can be written as a sum of positive squares in 8 ways, for example, as 455609025 + 583029316 = 21345^2 + 24146^2 .

It is not a de Polignac number, because 1038638341 - 2¹⁵ = 1038605573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1038638341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038638311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23445 + ... + 51253.

It is an arithmetic number, because the mean of its divisors is an integer number (74461275).

Almost surely, 2^1038638341 is an apocalyptic number.

It is an amenable number.

1038638341 is a deficient number, since it is larger than the sum of its proper divisors (152742059).

1038638341 is an equidigital number, since it uses as much as digits as its factorization.

1038638341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27865 (or 27839 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 1038638341 is about 32227.9124517863. The cubic root of 1038638341 is about 1012.7170383885.

The spelling of 1038638341 in words is "one billion, thirty-eight million, six hundred thirty-eight thousand, three hundred forty-one".