34066677670340 has 48 divisors (see below), whose sum is σ = 84397446626304. Its totient is φ = 11303229456000.

The previous prime is 34066677670297. The next prime is 34066677670349. The reversal of 34066677670340 is 4307677666043.

It is a super-3 number, since 3×34066677670340³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34066677670340.

It is not an unprimeable number, because it can be changed into a prime (34066677670349) 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, 3924728111 + ... + 3924736790.

It is an arithmetic number, because the mean of its divisors is an integer number (1758280138048).

Almost surely, 2^{34066677670340} is an apocalyptic number.

It is an amenable number.

34066677670340 is an abundant number, since it is smaller than the sum of its proper divisors (50330768955964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34066677670340 is a wasteful number, since it uses less digits than its factorization.

34066677670340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849464948 (or 7849464946 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 59.

The spelling of 34066677670340 in words is "thirty-four trillion, sixty-six billion, six hundred seventy-seven million, six hundred seventy thousand, three hundred forty".