34745075168 has 48 divisors (see below), whose sum is σ = 69776952336. Its totient is φ = 17024716800.

The previous prime is 34745075153. The next prime is 34745075171. The reversal of 34745075168 is 86157054743.

34745075168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485968 + ... + 1509168.

It is an arithmetic number, because the mean of its divisors is an integer number (1453686507).

Almost surely, 2^34745075168 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 34745075168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34888476168).

34745075168 is an abundant number, since it is smaller than the sum of its proper divisors (35031877168).

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

34745075168 is a wasteful number, since it uses less digits than its factorization.

34745075168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24147 (or 24139 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 34745075168 in words is "thirty-four billion, seven hundred forty-five million, seventy-five thousand, one hundred sixty-eight".