34034004000337 has 16 divisors (see below), whose sum is σ = 37603665301824. Its totient is φ = 30545385160000.

The previous prime is 34034004000323. The next prime is 34034004000343. The reversal of 34034004000337 is 73300040043043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34034004000337 - 2²⁷ = 34033869782609 is a prime.

It is a super-2 number, since 2×34034004000337² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34034004000299 and 34034004000308.

It is not an unprimeable number, because it can be changed into a prime (34034004000137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43755214 + ... + 44526247.

It is an arithmetic number, because the mean of its divisors is an integer number (2350229081364).

Almost surely, 2^{34034004000337} is an apocalyptic number.

It is an amenable number.

34034004000337 is a deficient number, since it is larger than the sum of its proper divisors (3569661301487).

34034004000337 is a wasteful number, since it uses less digits than its factorization.

34034004000337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88281920.

The product of its (nonzero) digits is 36288, while the sum is 31.

The spelling of 34034004000337 in words is "thirty-four trillion, thirty-four billion, four million, three hundred thirty-seven", and thus it is an aban number.