34159968 has 144 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 10834560.

The previous prime is 34159943. The next prime is 34159969. The reversal of 34159968 is 86995143.

It is a happy number.

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

It is a super-2 number, since 2×34159968² = 2333806827522048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34159969) 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, 178753 + ... + 178943.

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

Almost surely, 2^34159968 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 34159968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

34159968 is an abundant number, since it is smaller than the sum of its proper divisors (71510688).

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

34159968 is a wasteful number, since it uses less digits than its factorization.

34159968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 34159968 is about 5844.6529409367. The cubic root of 34159968 is about 324.4684581518.

The spelling of 34159968 in words is "thirty-four million, one hundred fifty-nine thousand, nine hundred sixty-eight".