34414043132 has 48 divisors (see below), whose sum is σ = 72569495040. Its totient is φ = 13949692992.

The previous prime is 34414043129. The next prime is 34414043141. The reversal of 34414043132 is 23134041443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34414043095 and 34414043104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273353 + ... + 378879.

It is an arithmetic number, because the mean of its divisors is an integer number (1511864480).

Almost surely, 2^34414043132 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 34414043132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36284747520).

34414043132 is an abundant number, since it is smaller than the sum of its proper divisors (38155451908).

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

34414043132 is a wasteful number, since it uses less digits than its factorization.

34414043132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106170 (or 106168 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34414043132 its reverse (23134041443), we get a palindrome (57548084575).

The spelling of 34414043132 in words is "thirty-four billion, four hundred fourteen million, forty-three thousand, one hundred thirty-two".