32444431344 has 240 divisors, whose sum is σ = 100093593600. Its totient is φ = 9749389824.

The previous prime is 32444431321. The next prime is 32444431417. The reversal of 32444431344 is 44313444423.

32444431344 is a `hidden beast` number, since 3 + 244 + 44 + 31 + 344 = 666.

It is a super-2 number, since 2×32444431344² (a number of 22 digits) contains 22 as substring.

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.

It is a junction number, because it is equal to n+sod(n) for n = 32444431299 and 32444431308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18443937 + ... + 18445695.

It is an arithmetic number, because the mean of its divisors is an integer number (417056640).

Almost surely, 2^32444431344 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 32444431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50046796800).

32444431344 is an abundant number, since it is smaller than the sum of its proper divisors (67649162256).

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

32444431344 is a wasteful number, since it uses less digits than its factorization.

32444431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2003 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 32444431344 its reverse (44313444423), we get a palindrome (76757875767).

The spelling of 32444431344 in words is "thirty-two billion, four hundred forty-four million, four hundred thirty-one thousand, three hundred forty-four".