34326162116064 has 1152 divisors, whose sum is σ = 128193069312000. Its totient is φ = 8855231164416.

The previous prime is 34326162116063. The next prime is 34326162116131. The reversal of 34326162116064 is 46061126162343.

34326162116064 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 6 + 1 + 621 + 16 + 0 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34326162116063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4739215227 + ... + 4739222469.

It is an arithmetic number, because the mean of its divisors is an integer number (111278706000).

Almost surely, 2^{34326162116064} 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 34326162116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64096534656000).

34326162116064 is an abundant number, since it is smaller than the sum of its proper divisors (93866907195936).

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

34326162116064 is a wasteful number, since it uses less digits than its factorization.

34326162116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34326162116064 in words is "thirty-four trillion, three hundred twenty-six billion, one hundred sixty-two million, one hundred sixteen thousand, sixty-four".