34432000344 has 160 divisors (see below), whose sum is σ = 112564615680. Its totient is φ = 9628341696.

The previous prime is 34432000327. The next prime is 34432000349. The reversal of 34432000344 is 44300023443.

It is a super-2 number, since 2×34432000344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34432000349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132439 + ... + 293945.

It is an arithmetic number, because the mean of its divisors is an integer number (703528848).

Almost surely, 2^34432000344 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 34432000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56282307840).

34432000344 is an abundant number, since it is smaller than the sum of its proper divisors (78132615336).

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

34432000344 is a wasteful number, since it uses less digits than its factorization.

34432000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161579 (or 161566 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34432000344 its reverse (44300023443), we get a palindrome (78732023787).

The spelling of 34432000344 in words is "thirty-four billion, four hundred thirty-two million, three hundred forty-four", and thus it is an aban number.