34434512352 has 144 divisors (see below), whose sum is σ = 101156459040. Its totient is φ = 11102800896.

The previous prime is 34434512347. The next prime is 34434512417. The reversal of 34434512352 is 25321543443.

34434512352 is a `hidden beast` number, since 3 + 443 + 45 + 123 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834149 + ... + 1852827.

It is an arithmetic number, because the mean of its divisors is an integer number (702475410).

Almost surely, 2^34434512352 is an apocalyptic number.

34434512352 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 34434512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50578229520).

34434512352 is an abundant number, since it is smaller than the sum of its proper divisors (66721946688).

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

34434512352 is a wasteful number, since it uses less digits than its factorization.

34434512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18905 (or 18894 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 34434512352 in words is "thirty-four billion, four hundred thirty-four million, five hundred twelve thousand, three hundred fifty-two".