34456633344 has 192 divisors, whose sum is σ = 113766662880. Its totient is φ = 9844162560.

The previous prime is 34456633291. The next prime is 34456633369. The reversal of 34456633344 is 44333665443.

34456633344 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 6 + 633 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 34456633344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2056039 + ... + 2072729.

Almost surely, 2^34456633344 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 34456633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56883331440).

34456633344 is an abundant number, since it is smaller than the sum of its proper divisors (79310029536).

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

34456633344 is an equidigital number, since it uses as much as digits as its factorization.

34456633344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16734 (or 16703 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 45.

The spelling of 34456633344 in words is "thirty-four billion, four hundred fifty-six million, six hundred thirty-three thousand, three hundred forty-four".