34981502208 has 288 divisors, whose sum is σ = 100763574912. Its totient is φ = 10734796800.

The previous prime is 34981502197. The next prime is 34981502239. The reversal of 34981502208 is 80220518943.

It is a self number, because there is not a number n which added to its sum of digits gives 34981502208.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 193267878 + ... + 193268058.

It is an arithmetic number, because the mean of its divisors is an integer number (349873524).

Almost surely, 2^34981502208 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 34981502208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50381787456).

34981502208 is an abundant number, since it is smaller than the sum of its proper divisors (65782072704).

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

34981502208 is a wasteful number, since it uses less digits than its factorization.

34981502208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 34981502208 in words is "thirty-four billion, nine hundred eighty-one million, five hundred two thousand, two hundred eight".