34168080 has 160 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 8418816.

The previous prime is 34168073. The next prime is 34168081. The reversal of 34168080 is 8086143.

It is a happy number.

It is a super-3 number, since 3×34168080³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34168081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268977 + ... + 269103.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^34168080 is an apocalyptic number.

34168080 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 34168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

34168080 is an abundant number, since it is smaller than the sum of its proper divisors (80110320).

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

34168080 is a wasteful number, since it uses less digits than its factorization.

34168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 34168080 is about 5845.3468673809. The cubic root of 34168080 is about 324.4941400632.

The spelling of 34168080 in words is "thirty-four million, one hundred sixty-eight thousand, eighty".