34001104337 has 16 divisors (see below), whose sum is σ = 36313804800. Its totient is φ = 31723550208.

The previous prime is 34001104321. The next prime is 34001104339. The reversal of 34001104337 is 73340110043.

It is a cyclic number.

It is not a de Polignac number, because 34001104337 - 2⁴ = 34001104321 is a prime.

It is a super-2 number, since 2×34001104337² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34001104339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3014813 + ... + 3026069.

It is an arithmetic number, because the mean of its divisors is an integer number (2269612800).

Almost surely, 2^34001104337 is an apocalyptic number.

It is an amenable number.

34001104337 is a deficient number, since it is larger than the sum of its proper divisors (2312700463).

34001104337 is a wasteful number, since it uses less digits than its factorization.

34001104337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800.

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 34001104337 in words is "thirty-four billion, one million, one hundred four thousand, three hundred thirty-seven".