33938113729 has 27 divisors (see below), whose sum is σ = 37868503113. Its totient is φ = 30401216352.

The previous prime is 33938113687. The next prime is 33938113763. The reversal of 33938113729 is 92731183933.

The square root of 33938113729 is 184223.

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

It can be written as a sum of positive squares in 4 ways, for example, as 140968129 + 33797145600 = 11873^2 + 183840^2 .

It is not a de Polignac number, because 33938113729 - 2¹⁵ = 33938080961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33938113799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88611072 + ... + 88611454.

Almost surely, 2^33938113729 is an apocalyptic number.

33938113729 is the 184223-rd square number.

33938113729 is the 92112-nd centered octagonal number.

It is an amenable number.

33938113729 is a deficient number, since it is larger than the sum of its proper divisors (3930389384).

33938113729 is an frugal number, since it uses more digits than its factorization.

33938113729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its digits is 734832, while the sum is 49.

Multiplying 33938113729 by its sum of digits (49), we get a square (1662967572721 = 1289561²).

The spelling of 33938113729 in words is "thirty-three billion, nine hundred thirty-eight million, one hundred thirteen thousand, seven hundred twenty-nine".