34004037337040 has 20 divisors (see below), whose sum is σ = 79059386808804. Its totient is φ = 13601614934784.

The previous prime is 34004037337033. The next prime is 34004037337091. The reversal of 34004037337040 is 4073373040043.

It can be written as a sum of positive squares in 2 ways, for example, as 6386153543056 + 27617883793984 = 2527084^2 + 5255272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 34004037336985 and 34004037337003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212525233277 + ... + 212525233436.

Almost surely, 2^{34004037337040} is an apocalyptic number.

It is an amenable number.

34004037337040 is an abundant number, since it is smaller than the sum of its proper divisors (45055349471764).

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

34004037337040 is a wasteful number, since it uses less digits than its factorization.

34004037337040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425050466726 (or 425050466720 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 38.

The spelling of 34004037337040 in words is "thirty-four trillion, four billion, thirty-seven million, three hundred thirty-seven thousand, forty".