34743063168 has 384 divisors, whose sum is σ = 115912555200. Its totient is φ = 9878077440.

The previous prime is 34743063139. The next prime is 34743063197. The reversal of 34743063168 is 86136034743.

34743063168 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 3 + 0 + 631 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34743063139) and next prime (34743063197).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27206146 + ... + 27207422.

Almost surely, 2^34743063168 is an apocalyptic number.

34743063168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34743063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57956277600).

34743063168 is an abundant number, since it is smaller than the sum of its proper divisors (81169492032).

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

34743063168 is a wasteful number, since it uses less digits than its factorization.

34743063168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34743063168 in words is "thirty-four billion, seven hundred forty-three million, sixty-three thousand, one hundred sixty-eight".