34424305664 has 96 divisors (see below), whose sum is σ = 80495775360. Its totient is φ = 14409916416.

The previous prime is 34424305661. The next prime is 34424305709. The reversal of 34424305664 is 46650342443.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34424305661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 588527 + ... + 644369.

It is an arithmetic number, because the mean of its divisors is an integer number (838497660).

Almost surely, 2^34424305664 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 34424305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40247887680).

34424305664 is an abundant number, since it is smaller than the sum of its proper divisors (46071469696).

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

34424305664 is an equidigital number, since it uses as much as digits as its factorization.

34424305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55915 (or 55895 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 41.

The spelling of 34424305664 in words is "thirty-four billion, four hundred twenty-four million, three hundred five thousand, six hundred sixty-four".