34491168 has 144 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 10644480.

The previous prime is 34491167. The next prime is 34491211. The reversal of 34491168 is 86119443.

34491168 is a `hidden beast` number, since 3 + 4 + 491 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34491167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271521 + ... + 271647.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 2^34491168 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 34491168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

34491168 is an abundant number, since it is smaller than the sum of its proper divisors (71179488).

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

34491168 is a wasteful number, since it uses less digits than its factorization.

34491168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 34491168 is about 5872.9181843441. The cubic root of 34491168 is about 325.5137216638.

The spelling of 34491168 in words is "thirty-four million, four hundred ninety-one thousand, one hundred sixty-eight".