38981629399729 has 27 divisors (see below), whose sum is σ = 40419143623033. Its totient is φ = 37594773477800.

The previous prime is 38981629399711. The next prime is 38981629399733. The reversal of 38981629399729 is 92799392618983.

The square root of 38981629399729 is 6243527.

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

It is not a de Polignac number, because 38981629399729 - 2⁴⁵ = 3797257310897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38981629399429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20834648664 + ... + 20834650534.

Almost surely, 2^{38981629399729} is an apocalyptic number.

38981629399729 is the 6243527-th square number.

38981629399729 is the 3121764-th centered octagonal number.

It is an amenable number.

38981629399729 is a deficient number, since it is larger than the sum of its proper divisors (1437514223304).

38981629399729 is an frugal number, since it uses more digits than its factorization.

38981629399729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 1989 counting only the distinct ones).

The product of its digits is 5714053632, while the sum is 85.

The spelling of 38981629399729 in words is "thirty-eight trillion, nine hundred eighty-one billion, six hundred twenty-nine million, three hundred ninety-nine thousand, seven hundred twenty-nine".