34000006670777 has 32 divisors (see below), whose sum is σ = 41159602870272. Its totient is φ = 27454495267584.

The previous prime is 34000006670759. The next prime is 34000006670801. The reversal of 34000006670777 is 77707660000043.

It is a happy number.

It is not a de Polignac number, because 34000006670777 - 2²⁰ = 34000005622201 is a prime.

It is a super-2 number, since 2×34000006670777² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34000006679777) 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, 56841218 + ... + 57436260.

It is an arithmetic number, because the mean of its divisors is an integer number (1286237589696).

Almost surely, 2^{34000006670777} is an apocalyptic number.

It is an amenable number.

34000006670777 is a deficient number, since it is larger than the sum of its proper divisors (7159596199495).

34000006670777 is a wasteful number, since it uses less digits than its factorization.

34000006670777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600437.

The product of its (nonzero) digits is 1037232, while the sum is 47.

The spelling of 34000006670777 in words is "thirty-four trillion, six million, six hundred seventy thousand, seven hundred seventy-seven".