34982975808 has 168 divisors, whose sum is σ = 109645947840. Its totient is φ = 10575912960.

The previous prime is 34982975803. The next prime is 34982975861. The reversal of 34982975808 is 80857928943.

34982975808 is a `hidden beast` number, since 3 + 49 + 8 + 2 + 9 + 7 + 580 + 8 = 666.

It is a super-2 number, since 2×34982975808² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34982975803) 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 23 ways as a sum of consecutive naturals, for example, 2775216 + ... + 2787792.

Almost surely, 2^34982975808 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 34982975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54822973920).

34982975808 is an abundant number, since it is smaller than the sum of its proper divisors (74662972032).

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

34982975808 is a wasteful number, since it uses less digits than its factorization.

34982975808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13045 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 34982975808 in words is "thirty-four billion, nine hundred eighty-two million, nine hundred seventy-five thousand, eight hundred eight".