34988824808 has 128 divisors (see below), whose sum is σ = 78511472640. Its totient is φ = 14303520000.

The previous prime is 34988824799. The next prime is 34988824813. The reversal of 34988824808 is 80842888943.

It is a happy number.

It is a Cunningham number, because it is equal to 187053²-1.

It is a super-2 number, since 2×34988824808² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75569585 + ... + 75570047.

It is an arithmetic number, because the mean of its divisors is an integer number (613370880).

Almost surely, 2^34988824808 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 34988824808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39255736320).

34988824808 is an abundant number, since it is smaller than the sum of its proper divisors (43522647832).

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

34988824808 is a wasteful number, since it uses less digits than its factorization.

34988824808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 62.

The spelling of 34988824808 in words is "thirty-four billion, nine hundred eighty-eight million, eight hundred twenty-four thousand, eight hundred eight".