34168032 has 72 divisors (see below), whose sum is σ = 100540440. Its totient is φ = 10993920.

The previous prime is 34168031. The next prime is 34168073. The reversal of 34168032 is 23086143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 34167987 and 34168005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34168031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6307 + ... + 10397.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 2^34168032 is an apocalyptic number.

34168032 is a gapful number since it is divisible by the number (32) 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 34168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270220).

34168032 is an abundant number, since it is smaller than the sum of its proper divisors (66372408).

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

34168032 is a wasteful number, since it uses less digits than its factorization.

34168032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34168032 is about 5845.3427615496. The cubic root of 34168032 is about 324.4939881112.

The spelling of 34168032 in words is "thirty-four million, one hundred sixty-eight thousand, thirty-two".