34433021220 has 192 divisors, whose sum is σ = 107445381120. Its totient is φ = 8181964800.

The previous prime is 34433021219. The next prime is 34433021261. The reversal of 34433021220 is 2212033443.

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 63 ways as a sum of consecutive naturals, for example, 11145436 + ... + 11148524.

It is an arithmetic number, because the mean of its divisors is an integer number (559611360).

Almost surely, 2^34433021220 is an apocalyptic number.

34433021220 is a gapful number since it is divisible by the number (30) 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 34433021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53722690560).

34433021220 is an abundant number, since it is smaller than the sum of its proper divisors (73012359900).

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

34433021220 is a wasteful number, since it uses less digits than its factorization.

34433021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34433021220 its reverse (2212033443), we get a palindrome (36645054663).

The spelling of 34433021220 in words is "thirty-four billion, four hundred thirty-three million, twenty-one thousand, two hundred twenty".