34004100165 has 32 divisors (see below), whose sum is σ = 63198264576. Its totient is φ = 15289896960.

The previous prime is 34004100131. The next prime is 34004100181. The reversal of 34004100165 is 56100140043.

It is not a de Polignac number, because 34004100165 - 2¹⁰ = 34004099141 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2648092 + ... + 2660901.

It is an arithmetic number, because the mean of its divisors is an integer number (1974945768).

Almost surely, 2^34004100165 is an apocalyptic number.

34004100165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34004100165 is a deficient number, since it is larger than the sum of its proper divisors (29194164411).

34004100165 is a wasteful number, since it uses less digits than its factorization.

34004100165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309069.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 34004100165 in words is "thirty-four billion, four million, one hundred thousand, one hundred sixty-five".