34173108733729 has 27 divisors (see below), whose sum is σ = 39968666979507. Its totient is φ = 29132733659904.

The previous prime is 34173108733711. The next prime is 34173108733741. The reversal of 34173108733729 is 92733780137143.

The square root of 34173108733729 is 5845777.

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., 8279747277025 + 25893361456704 = 2877455^2 + 5088552^2 .

It is not a de Polignac number, because 34173108733729 - 2⁷ = 34173108733601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34173108733759) 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, 7897642564 + ... + 7897646890.

It is an arithmetic number, because the mean of its divisors is an integer number (1480320999241).

Almost surely, 2^{34173108733729} is an apocalyptic number.

34173108733729 is the 5845777-th square number.

34173108733729 is the 2922889-th centered octagonal number.

It is an amenable number.

34173108733729 is a deficient number, since it is larger than the sum of its proper divisors (5795558245778).

34173108733729 is an frugal number, since it uses more digits than its factorization.

34173108733729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 58.

The spelling of 34173108733729 in words is "thirty-four trillion, one hundred seventy-three billion, one hundred eight million, seven hundred thirty-three thousand, seven hundred twenty-nine".