34500553040 has 80 divisors (see below), whose sum is σ = 81983895552. Its totient is φ = 13496143872.

The previous prime is 34500553013. The next prime is 34500553063. The reversal of 34500553040 is 4035500543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34500552994 and 34500553012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6378017 + ... + 6383423.

Almost surely, 2^34500553040 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 34500553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40991947776).

34500553040 is an abundant number, since it is smaller than the sum of its proper divisors (47483342512).

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

34500553040 is a wasteful number, since it uses less digits than its factorization.

34500553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The spelling of 34500553040 in words is "thirty-four billion, five hundred million, five hundred fifty-three thousand, forty".