34338816 has 168 divisors, whose sum is σ = 107420040. Its totient is φ = 10948608.

The previous prime is 34338809. The next prime is 34338847. The reversal of 34338816 is 61883343.

It is a happy number.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492981 + ... + 1493003.

It is an arithmetic number, because the mean of its divisors is an integer number (639405).

Almost surely, 2^34338816 is an apocalyptic number.

34338816 is a gapful number since it is divisible by the number (36) 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 34338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53710020).

34338816 is an abundant number, since it is smaller than the sum of its proper divisors (73081224).

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

34338816 is an frugal number, since it uses more digits than its factorization.

34338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

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

The square root of 34338816 is about 5859.9331054202. The cubic root of 34338816 is about 325.0337353541.

34338816 divided by its product of digits (41472) gives a palindrome (828).

The spelling of 34338816 in words is "thirty-four million, three hundred thirty-eight thousand, eight hundred sixteen".