34306305433632 has 72 divisors (see below), whose sum is σ = 98524482458220. Its totient is φ = 11322213004800.

The previous prime is 34306305433601. The next prime is 34306305433633. The reversal of 34306305433632 is 23633450360343.

34306305433632 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 6 + 3 + 0 + 5 + 4 + 3 + 3 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30791445392016 + 3514860041616 = 5549004^2 + 1874796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×34306305433632² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34306305433633) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 589669507 + ... + 589727682.

Almost surely, 2^{34306305433632} is an apocalyptic number.

34306305433632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34306305433632 is an abundant number, since it is smaller than the sum of its proper divisors (64218177024588).

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

34306305433632 is a wasteful number, since it uses less digits than its factorization.

34306305433632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179397306 (or 1179397295 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 45.

Adding to 34306305433632 its reverse (23633450360343), we get a palindrome (57939755793975).

The spelling of 34306305433632 in words is "thirty-four trillion, three hundred six billion, three hundred five million, four hundred thirty-three thousand, six hundred thirty-two".