34444066810677 has 16 divisors (see below), whose sum is σ = 45994126464000. Its totient is φ = 22928376906864.

The previous prime is 34444066810667. The next prime is 34444066810679. The reversal of 34444066810677 is 77601866044443.

It is not a de Polignac number, because 34444066810677 - 2²³ = 34444058422069 is a prime.

It is a super-2 number, since 2×34444066810677² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34444066810677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444066810679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5566324 + ... + 9993602.

It is an arithmetic number, because the mean of its divisors is an integer number (2874632904000).

Almost surely, 2^{34444066810677} is an apocalyptic number.

It is an amenable number.

34444066810677 is a deficient number, since it is larger than the sum of its proper divisors (11550059653323).

34444066810677 is a wasteful number, since it uses less digits than its factorization.

34444066810677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431160.

The product of its (nonzero) digits is 65028096, while the sum is 60.

The spelling of 34444066810677 in words is "thirty-four trillion, four hundred forty-four billion, sixty-six million, eight hundred ten thousand, six hundred seventy-seven".