33444422432 has 48 divisors (see below), whose sum is σ = 67330206720. Its totient is φ = 16345594368.

The previous prime is 33444422423. The next prime is 33444422437. The reversal of 33444422432 is 23422444433.

It is a super-2 number, since 2×33444422432² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33444422392 and 33444422401.

It is not an unprimeable number, because it can be changed into a prime (33444422437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202993 + ... + 1230479.

It is an arithmetic number, because the mean of its divisors is an integer number (1402712640).

Almost surely, 2^33444422432 is an apocalyptic number.

33444422432 is a gapful number since it is divisible by the number (32) 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 33444422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33665103360).

33444422432 is an abundant number, since it is smaller than the sum of its proper divisors (33885784288).

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

33444422432 is a wasteful number, since it uses less digits than its factorization.

33444422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28353 (or 28345 counting only the distinct ones).

The product of its digits is 221184, while the sum is 35.

Adding to 33444422432 its reverse (23422444433), we get a palindrome (56866866865).

The spelling of 33444422432 in words is "thirty-three billion, four hundred forty-four million, four hundred twenty-two thousand, four hundred thirty-two".