34945879542016 has 27 divisors (see below), whose sum is σ = 69755440541241. Its totient is φ = 17472892478976.

The previous prime is 34945879542011. The next prime is 34945879542029. The reversal of 34945879542016 is 61024597854943.

The square root of 34945879542016 is 5911504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 844017039616 + 34101862502400 = 918704^2 + 5839680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34945879542011) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 94399330 + ... + 94768798.

It is a 2-persistent number, because it is pandigital, and so is 2⋅34945879542016 = 69891759084032, but 3⋅34945879542016 = 104837638626048 is not.

Almost surely, 2^{34945879542016} is an apocalyptic number.

34945879542016 is the 5911504-th square number.

It is an amenable number.

34945879542016 is a deficient number, since it is larger than the sum of its proper divisors (34809560999225).

34945879542016 is an frugal number, since it uses more digits than its factorization.

34945879542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738954 (or 369471 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 67.

The spelling of 34945879542016 in words is "thirty-four trillion, nine hundred forty-five billion, eight hundred seventy-nine million, five hundred forty-two thousand, sixteen".