1000038000361 has 9 divisors (see below), whose sum is σ = 1021816139799. Its totient is φ = 978714595224.

The previous prime is 1000038000349. The next prime is 1000038000397. The reversal of 1000038000361 is 1630008300001.

The square root of 1000038000361 is 1000019.

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

It can be written as a sum of positive squares in only one way, i.e., 49108776025 + 950929224336 = 221605^2 + 975156^2 .

It is not a de Polignac number, because 1000038000361 - 2⁷ = 1000038000233 is a prime.

It is a super-2 number, since 2×1000038000361² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000038000341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46990255 + ... + 47011531.

Almost surely, 2^{1000038000361} is an apocalyptic number.

1000038000361 is the 1000019-th square number.

1000038000361 is the 500010-th centered octagonal number.

It is an amenable number.

1000038000361 is a deficient number, since it is larger than the sum of its proper divisors (21778139438).

1000038000361 is an frugal number, since it uses more digits than its factorization.

1000038000361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42648 (or 21324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 1000038000361 in words is "one trillion, thirty-eight million, three hundred sixty-one", and thus it is an aban number.