32434513344 has 224 divisors, whose sum is σ = 100723476480. Its totient is φ = 10218700800.

The previous prime is 32434513343. The next prime is 32434513361. The reversal of 32434513344 is 44331543423.

It is a happy number.

It is a super-2 number, since 2×32434513344² (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 junction number, because it is equal to n+sod(n) for n = 32434513299 and 32434513308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32434513343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2296384 + ... + 2310464.

Almost surely, 2^32434513344 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 32434513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50361738240).

32434513344 is an abundant number, since it is smaller than the sum of its proper divisors (68288963136).

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

32434513344 is a wasteful number, since it uses less digits than its factorization.

32434513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14176 (or 14160 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The spelling of 32434513344 in words is "thirty-two billion, four hundred thirty-four million, five hundred thirteen thousand, three hundred forty-four".