34643006221824 has 4320 divisors, whose sum is σ = 147827145644640. Its totient is φ = 7970586624000.

The previous prime is 34643006221823. The next prime is 34643006221829. The reversal of 34643006221824 is 42812260034643.

34643006221824 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 3 + 0 + 0 + 622 + 18 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34643006221824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34643006221823) 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 431 ways as a sum of consecutive naturals, for example, 567918134754 + ... + 567918134814.

It is an arithmetic number, because the mean of its divisors is an integer number (34219246677).

Almost surely, 2^{34643006221824} 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 34643006221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73913572822320).

34643006221824 is an abundant number, since it is smaller than the sum of its proper divisors (113184139422816).

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

34643006221824 is a wasteful number, since it uses less digits than its factorization.

34643006221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 34643006221824 in words is "thirty-four trillion, six hundred forty-three billion, six million, two hundred twenty-one thousand, eight hundred twenty-four".