34836144 has 80 divisors (see below), whose sum is σ = 103564800. Its totient is φ = 9884160.

The previous prime is 34836143. The next prime is 34836173. The reversal of 34836144 is 44163843.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34836143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66604 + ... + 67124.

It is an arithmetic number, because the mean of its divisors is an integer number (1294560).

Almost surely, 2^34836144 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 34836144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51782400).

34836144 is an abundant number, since it is smaller than the sum of its proper divisors (68728656).

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

34836144 is a wasteful number, since it uses less digits than its factorization.

34836144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 34836144 is about 5902.2151773720. The cubic root of 34836144 is about 326.5953715482.

Adding to 34836144 its reverse (44163843), we get a palindrome (78999987).

It can be divided in two parts, 34836 and 144, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 34836144 in words is "thirty-four million, eight hundred thirty-six thousand, one hundred forty-four".