34350075648 has 648 divisors, whose sum is σ = 122137666560. Its totient is φ = 9597450240.

The previous prime is 34350075601. The next prime is 34350075653. The reversal of 34350075648 is 84657005343.

34350075648 is a `hidden beast` number, since 34 + 3 + 50 + 0 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179843233 + ... + 179843423.

Almost surely, 2^34350075648 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 34350075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61068833280).

34350075648 is an abundant number, since it is smaller than the sum of its proper divisors (87787590912).

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

34350075648 is an equidigital number, since it uses as much as digits as its factorization.

34350075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 34350075648 in words is "thirty-four billion, three hundred fifty million, seventy-five thousand, six hundred forty-eight".