34412113341432 has 192 divisors, whose sum is σ = 96870461688000. Its totient is φ = 11026934341632.

The previous prime is 34412113341383. The next prime is 34412113341461. The reversal of 34412113341432 is 23414331121443.

34412113341432 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 211 + 3 + 3 + 4 + 1 + 432 = 666.

It is a super-3 number, since 3×34412113341432³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102334869 + ... + 102670587.

It is an arithmetic number, because the mean of its divisors is an integer number (504533654625).

Almost surely, 2^{34412113341432} 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 34412113341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48435230844000).

34412113341432 is an abundant number, since it is smaller than the sum of its proper divisors (62458348346568).

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

34412113341432 is a wasteful number, since it uses less digits than its factorization.

34412113341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336230 (or 336223 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 34412113341432 its reverse (23414331121443), we get a palindrome (57826444462875).

The spelling of 34412113341432 in words is "thirty-four trillion, four hundred twelve billion, one hundred thirteen million, three hundred forty-one thousand, four hundred thirty-two".