3673827058729 has 9 divisors (see below), whose sum is σ = 3679745829879. Its totient is φ = 3667917801720.

The previous prime is 3673827058703. The next prime is 3673827058757. The reversal of 3673827058729 is 9278507283763.

The square root of 3673827058729 is 1916723.

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., 2491431794329 + 1182395264400 = 1578427^2 + 1087380^2 .

It is not a de Polignac number, because 3673827058729 - 2²⁷ = 3673692841001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3673827058789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1654130839 + ... + 1654133059.

Almost surely, 2^{3673827058729} is an apocalyptic number.

3673827058729 is the 1916723-rd square number.

3673827058729 is the 958362-nd centered octagonal number.

It is an amenable number.

3673827058729 is a deficient number, since it is larger than the sum of its proper divisors (5918771150).

3673827058729 is an frugal number, since it uses more digits than its factorization.

3673827058729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 67.

The spelling of 3673827058729 in words is "three trillion, six hundred seventy-three billion, eight hundred twenty-seven million, fifty-eight thousand, seven hundred twenty-nine".