34144416 has 72 divisors (see below), whose sum is σ = 100717344. Its totient is φ = 11378880.

The previous prime is 34144343. The next prime is 34144417. The reversal of 34144416 is 61444143.

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

It is a super-2 number, since 2×34144416² = 2331682287962112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34144416.

It is not an unprimeable number, because it can be changed into a prime (34144417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5581 + ... + 9971.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 2^34144416 is an apocalyptic number.

34144416 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 34144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50358672).

34144416 is an abundant number, since it is smaller than the sum of its proper divisors (66572928).

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

34144416 is an equidigital number, since it uses as much as digits as its factorization.

34144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4396 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 34144416 is about 5843.3223426404. The cubic root of 34144416 is about 324.4192104531.

Adding to 34144416 its reverse (61444143), we get a palindrome (95588559).

The spelling of 34144416 in words is "thirty-four million, one hundred forty-four thousand, four hundred sixteen".