34490081664 has 512 divisors, whose sum is σ = 114742656000. Its totient is φ = 10145710080.

The previous prime is 34490081663. The next prime is 34490081707. The reversal of 34490081664 is 46618009443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34490081663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61920874 + ... + 61921430.

It is an arithmetic number, because the mean of its divisors is an integer number (224106750).

Almost surely, 2^34490081664 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 34490081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57371328000).

34490081664 is an abundant number, since it is smaller than the sum of its proper divisors (80252574336).

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

34490081664 is a wasteful number, since it uses less digits than its factorization.

34490081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34490081664 in words is "thirty-four billion, four hundred ninety million, eighty-one thousand, six hundred sixty-four".