34516184878368 has 36 divisors (see below), whose sum is σ = 98155400748678. Its totient is φ = 11505394959360.

The previous prime is 34516184878333. The next prime is 34516184878369. The reversal of 34516184878368 is 86387848161543.

34516184878368 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 6 + 1 + 8 + 487 + 83 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23553278461584 + 10962906416784 = 4853172^2 + 3311028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34516184878296 and 34516184878305.

It is not an unprimeable number, because it can be changed into a prime (34516184878369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59923931793 + ... + 59923932368.

Almost surely, 2^{34516184878368} is an apocalyptic number.

It is an amenable number.

34516184878368 is an abundant number, since it is smaller than the sum of its proper divisors (63639215870310).

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

34516184878368 is a wasteful number, since it uses less digits than its factorization.

34516184878368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119847864177 (or 119847864166 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 34516184878368 in words is "thirty-four trillion, five hundred sixteen billion, one hundred eighty-four million, eight hundred seventy-eight thousand, three hundred sixty-eight".