34000194908160 has 832 divisors, whose sum is σ = 131517573989760. Its totient is φ = 8282827653120.

The previous prime is 34000194908137. The next prime is 34000194908167. The reversal of 34000194908160 is 6180949100043.

34000194908160 is a `hidden beast` number, since 340 + 0 + 0 + 1 + 94 + 90 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-4 number, since 4×34000194908160⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34000194908167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697258180 + ... + 697306940.

Almost surely, 2^{34000194908160} is an apocalyptic number.

34000194908160 is a gapful number since it is divisible by the number (30) 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 34000194908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65758786994880).

34000194908160 is an abundant number, since it is smaller than the sum of its proper divisors (97517379081600).

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

34000194908160 is a wasteful number, since it uses less digits than its factorization.

34000194908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48909 (or 48881 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 34000194908160 in words is "thirty-four trillion, one hundred ninety-four million, nine hundred eight thousand, one hundred sixty".