34508839840 has 96 divisors (see below), whose sum is σ = 82440723456. Its totient is φ = 13649264640.

The previous prime is 34508839829. The next prime is 34508839879. The reversal of 34508839840 is 4893880543.

It is a super-3 number, since 3×34508839840³ (a number of 33 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 16330624 + ... + 16332736.

It is an arithmetic number, because the mean of its divisors is an integer number (858757536).

Almost surely, 2^34508839840 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 34508839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41220361728).

34508839840 is an abundant number, since it is smaller than the sum of its proper divisors (47931883616).

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

34508839840 is a wasteful number, since it uses less digits than its factorization.

34508839840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 34508839840 in words is "thirty-four billion, five hundred eight million, eight hundred thirty-nine thousand, eight hundred forty".