34443813432 has 192 divisors, whose sum is σ = 103110537600. Its totient is φ = 9556135680.

The previous prime is 34443813421. The next prime is 34443813473. The reversal of 34443813432 is 23431834443.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5755882 + ... + 5761862.

It is an arithmetic number, because the mean of its divisors is an integer number (537034050).

Almost surely, 2^34443813432 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 34443813432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51555268800).

34443813432 is an abundant number, since it is smaller than the sum of its proper divisors (68666724168).

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

34443813432 is a wasteful number, since it uses less digits than its factorization.

34443813432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6135 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

The spelling of 34443813432 in words is "thirty-four billion, four hundred forty-three million, eight hundred thirteen thousand, four hundred thirty-two".