34007044337 has 36 divisors (see below), whose sum is σ = 40349050560. Its totient is φ = 28575376704.

The previous prime is 34007044319. The next prime is 34007044339. The reversal of 34007044337 is 73344070043.

It is not a de Polignac number, because 34007044337 - 2⁸ = 34007044081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34007044297 and 34007044306.

It is not an unprimeable number, because it can be changed into a prime (34007044339) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94726964 + ... + 94727322.

It is an arithmetic number, because the mean of its divisors is an integer number (1120806960).

Almost surely, 2^34007044337 is an apocalyptic number.

It is an amenable number.

34007044337 is a deficient number, since it is larger than the sum of its proper divisors (6342006223).

34007044337 is a wasteful number, since it uses less digits than its factorization.

34007044337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 35.

The spelling of 34007044337 in words is "thirty-four billion, seven million, forty-four thousand, three hundred thirty-seven".