6344444436 has 96 divisors (see below), whose sum is σ = 16365888000. Its totient is φ = 1896981120.

The previous prime is 6344444429. The next prime is 6344444441.

6344444436 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3204895 + ... + 3206873.

It is an arithmetic number, because the mean of its divisors is an integer number (170478000).

Almost surely, 2^6344444436 is an apocalyptic number.

6344444436 is a gapful number since it is divisible by the number (66) 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 6344444436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182944000).

6344444436 is an abundant number, since it is smaller than the sum of its proper divisors (10021443564).

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

6344444436 is a wasteful number, since it uses less digits than its factorization.

6344444436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2307 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The square root of 6344444436 is about 79652.0209159818. The cubic root of 6344444436 is about 1851.2477033377.

It can be divided in two parts, 63444444 and 36, that added together give a triangular number (63444480 = T₁₁₂₆₄).

The spelling of 6344444436 in words is "six billion, three hundred forty-four million, four hundred forty-four thousand, four hundred thirty-six".