38276209647729 has 81 divisors (see below), whose sum is σ = 57191113658497. Its totient is φ = 24667917254400.

The previous prime is 38276209647691. The next prime is 38276209647737. The reversal of 38276209647729 is 92774690267283.

The square root of 38276209647729 is 6186777.

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

38276209647729 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 62 + 0 + 96 + 477 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5384149422129 + 32892060225600 = 2320377^2 + 5735160^2 .

It is not a de Polignac number, because 38276209647729 - 2⁷ = 38276209647601 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38276209647769) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 136214269069 + ... + 136214269349.

Almost surely, 2^{38276209647729} is an apocalyptic number.

38276209647729 is the 6186777-th square number.

38276209647729 is the 3093389-th centered octagonal number.

It is an amenable number.

38276209647729 is a deficient number, since it is larger than the sum of its proper divisors (18914904010768).

38276209647729 is an frugal number, since it uses more digits than its factorization.

38276209647729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 38276209647729 in words is "thirty-eight trillion, two hundred seventy-six billion, two hundred nine million, six hundred forty-seven thousand, seven hundred twenty-nine".