34208101116 has 240 divisors, whose sum is σ = 104684321280. Its totient is φ = 9538819200.

The previous prime is 34208101099. The next prime is 34208101157. The reversal of 34208101116 is 61110180243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34208101116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20204766 + ... + 20206458.

It is an arithmetic number, because the mean of its divisors is an integer number (436184672).

Almost surely, 2^34208101116 is an apocalyptic number.

34208101116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34208101116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52342160640).

34208101116 is an abundant number, since it is smaller than the sum of its proper divisors (70476220164).

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

34208101116 is a wasteful number, since it uses less digits than its factorization.

34208101116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 34208101116 its reverse (61110180243), we get a palindrome (95318281359).

The spelling of 34208101116 in words is "thirty-four billion, two hundred eight million, one hundred one thousand, one hundred sixteen".