34449432752 has 200 divisors, whose sum is σ = 82157408256. Its totient is φ = 13965291648.

The previous prime is 34449432707. The next prime is 34449432761. The reversal of 34449432752 is 25723494443.

It is a junction number, because it is equal to n+sod(n) for n = 34449432697 and 34449432706.

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 39 ways as a sum of consecutive naturals, for example, 112212983 + ... + 112213289.

Almost surely, 2^34449432752 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 34449432752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41078704128).

34449432752 is an abundant number, since it is smaller than the sum of its proper divisors (47707975504).

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

34449432752 is a wasteful number, since it uses less digits than its factorization.

34449432752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 466 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 47.

The spelling of 34449432752 in words is "thirty-four billion, four hundred forty-nine million, four hundred thirty-two thousand, seven hundred fifty-two".