34983134208 has 528 divisors, whose sum is σ = 119190030336. Its totient is φ = 9763553280.

The previous prime is 34983134171. The next prime is 34983134269. The reversal of 34983134208 is 80243138943.

34983134208 is a `hidden beast` number, since 3 + 498 + 3 + 134 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91339585 + ... + 91339967.

Almost surely, 2^34983134208 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 34983134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59595015168).

34983134208 is an abundant number, since it is smaller than the sum of its proper divisors (84206896128).

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

34983134208 is a wasteful number, since it uses less digits than its factorization.

34983134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34983134208 in words is "thirty-four billion, nine hundred eighty-three million, one hundred thirty-four thousand, two hundred eight".