34282018680104 has 192 divisors, whose sum is σ = 72786832263600. Its totient is φ = 15044356841472.

The previous prime is 34282018680097. The next prime is 34282018680109. The reversal of 34282018680104 is 40108681028243.

It can be written as a sum of positive squares in 24 ways, for example, as 24994977604 + 34257023702500 = 158098^2 + 5852950^2 .

It is not an unprimeable number, because it can be changed into a prime (34282018680109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4526870462 + ... + 4526878034.

Almost surely, 2^{34282018680104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34282018680104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36393416131800).

34282018680104 is an abundant number, since it is smaller than the sum of its proper divisors (38504813583496).

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

34282018680104 is a wasteful number, since it uses less digits than its factorization.

34282018680104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8432 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 34282018680104 in words is "thirty-four trillion, two hundred eighty-two billion, eighteen million, six hundred eighty thousand, one hundred four".