34513803648 has 256 divisors, whose sum is σ = 110777630400. Its totient is φ = 10534551552.

The previous prime is 34513803647. The next prime is 34513803739. The reversal of 34513803648 is 84630831543.

It is a super-3 number, since 3×34513803648³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513803641) 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 31 ways as a sum of consecutive naturals, for example, 2165886 + ... + 2181762.

Almost surely, 2^34513803648 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 34513803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55388815200).

34513803648 is an abundant number, since it is smaller than the sum of its proper divisors (76263826752).

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

34513803648 is a wasteful number, since it uses less digits than its factorization.

34513803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15954 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 34513803648 in words is "thirty-four billion, five hundred thirteen million, eight hundred three thousand, six hundred forty-eight".