34074004006737 has 12 divisors (see below), whose sum is σ = 50418444953604. Its totient is φ = 22161953825280.

The previous prime is 34074004006717. The next prime is 34074004006741. The reversal of 34074004006737 is 73760040047043.

It can be written as a sum of positive squares in 2 ways, for example, as 1369833819201 + 32704170187536 = 1170399^2 + 5718756^2 .

It is not a de Polignac number, because 34074004006737 - 2¹⁵ = 34074003973969 is a prime.

It is a super-2 number, since 2×34074004006737² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34074004006692 and 34074004006701.

It is not an unprimeable number, because it can be changed into a prime (34074004006717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46170736768 + ... + 46170737505.

It is an arithmetic number, because the mean of its divisors is an integer number (4201537079467).

Almost surely, 2^{34074004006737} is an apocalyptic number.

It is an amenable number.

34074004006737 is a deficient number, since it is larger than the sum of its proper divisors (16344440946867).

34074004006737 is a wasteful number, since it uses less digits than its factorization.

34074004006737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92341474320 (or 92341474317 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 34074004006737 in words is "thirty-four trillion, seventy-four billion, four million, six thousand, seven hundred thirty-seven".