34421044032 has 168 divisors, whose sum is σ = 104711373000. Its totient is φ = 10773331968.

The previous prime is 34421044003. The next prime is 34421044039. The reversal of 34421044032 is 23044012443.

It is a happy number.

34421044032 is a `hidden beast` number, since 3 + 4 + 4 + 210 + 440 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4941527616 + 29479516416 = 70296^2 + 171696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34421043987 and 34421044005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421044039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4392694 + ... + 4400522.

Almost surely, 2^34421044032 is an apocalyptic number.

34421044032 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 34421044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52355686500).

34421044032 is an abundant number, since it is smaller than the sum of its proper divisors (70290328968).

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

34421044032 is a wasteful number, since it uses less digits than its factorization.

34421044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34421044032 its reverse (23044012443), we get a palindrome (57465056475).

The spelling of 34421044032 in words is "thirty-four billion, four hundred twenty-one million, forty-four thousand, thirty-two".