34007737605645 has 32 divisors (see below), whose sum is σ = 54613706015232. Its totient is φ = 18070472261952.

The previous prime is 34007737605643. The next prime is 34007737605683. The reversal of 34007737605645 is 54650673770043.

It is a happy number.

It is not a de Polignac number, because 34007737605645 - 2¹ = 34007737605643 is a prime.

It is a super-3 number, since 3×34007737605645³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007737605643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729114 + ... + 8279316.

It is an arithmetic number, because the mean of its divisors is an integer number (1706678312976).

Almost surely, 2^{34007737605645} is an apocalyptic number.

It is an amenable number.

34007737605645 is a deficient number, since it is larger than the sum of its proper divisors (20605968409587).

34007737605645 is a wasteful number, since it uses less digits than its factorization.

34007737605645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551321.

The product of its (nonzero) digits is 44452800, while the sum is 57.

The spelling of 34007737605645 in words is "thirty-four trillion, seven billion, seven hundred thirty-seven million, six hundred five thousand, six hundred forty-five".