33821423328 has 192 divisors, whose sum is σ = 116514478080. Its totient is φ = 8322393600.

The previous prime is 33821423323. The next prime is 33821423353. The reversal of 33821423328 is 82332412833.

It is a happy number.

It is a super-2 number, since 2×33821423328² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33821423323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20043 + ... + 260853.

It is an arithmetic number, because the mean of its divisors is an integer number (606846240).

Almost surely, 2^33821423328 is an apocalyptic number.

33821423328 is a gapful number since it is divisible by the number (38) 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 33821423328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58257239040).

33821423328 is an abundant number, since it is smaller than the sum of its proper divisors (82693054752).

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

33821423328 is a wasteful number, since it uses less digits than its factorization.

33821423328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240861 (or 240853 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 33821423328 in words is "thirty-three billion, eight hundred twenty-one million, four hundred twenty-three thousand, three hundred twenty-eight".