34207982116 has 81 divisors (see below), whose sum is σ = 76607680401. Its totient is φ = 13316688000.

The previous prime is 34207982111. The next prime is 34207982117. The reversal of 34207982116 is 61128970243.

The square root of 34207982116 is 184954.

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., 56942116 + 34151040000 = 7546^2 + 184800^2 .

It is not an unprimeable number, because it can be changed into a prime (34207982111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28482316 + ... + 28483516.

Almost surely, 2^34207982116 is an apocalyptic number.

34207982116 is the 184954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34207982116

34207982116 is an abundant number, since it is smaller than the sum of its proper divisors (42399698285).

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

34207982116 is a wasteful number, since it uses less digits than its factorization.

34207982116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 34207982116 in words is "thirty-four billion, two hundred seven million, nine hundred eighty-two thousand, one hundred sixteen".