34009864164 has 18 divisors (see below), whose sum is σ = 85969378950. Its totient is φ = 11336621376.

The previous prime is 34009864153. The next prime is 34009864211. The reversal of 34009864164 is 46146890043.

34009864164 is a `hidden beast` number, since 3 + 400 + 9 + 86 + 4 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23605864164 + 10404000000 = 153642^2 + 102000^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472359189 + ... + 472359260.

Almost surely, 2^34009864164 is an apocalyptic number.

It is an amenable number.

34009864164 is an abundant number, since it is smaller than the sum of its proper divisors (51959514786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34009864164 is a wasteful number, since it uses less digits than its factorization.

34009864164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944718459 (or 944718454 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34009864164 in words is "thirty-four billion, nine million, eight hundred sixty-four thousand, one hundred sixty-four".