34132034108160 has 432 divisors, whose sum is σ = 119079939363840. Its totient is φ = 9025899724800.

The previous prime is 34132034108147. The next prime is 34132034108167. The reversal of 34132034108160 is 6180143023143.

34132034108160 is a `hidden beast` number, since 3 + 41 + 320 + 34 + 108 + 160 = 666.

34132034108160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34132034108167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4097970876 + ... + 4097979204.

Almost surely, 2^{34132034108160} is an apocalyptic number.

34132034108160 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 34132034108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59539969681920).

34132034108160 is an abundant number, since it is smaller than the sum of its proper divisors (84947905255680).

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

34132034108160 is a wasteful number, since it uses less digits than its factorization.

34132034108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34132034108160 in words is "thirty-four trillion, one hundred thirty-two billion, thirty-four million, one hundred eight thousand, one hundred sixty".