34916390208 has 336 divisors, whose sum is σ = 120499225600. Its totient is φ = 9652608000.

The previous prime is 34916390189. The next prime is 34916390209. The reversal of 34916390208 is 80209361943.

It is a happy number.

34916390208 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 639 + 0 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34916390209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6121758 + ... + 6127458.

Almost surely, 2^34916390208 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 34916390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60249612800).

34916390208 is an abundant number, since it is smaller than the sum of its proper divisors (85582835392).

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

34916390208 is a wasteful number, since it uses less digits than its factorization.

34916390208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 34916390208 in words is "thirty-four billion, nine hundred sixteen million, three hundred ninety thousand, two hundred eight".