34457032704 has 192 divisors, whose sum is σ = 95619363840. Its totient is φ = 11022336000.

The previous prime is 34457032699. The next prime is 34457032717. The reversal of 34457032704 is 40723075443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24950094 + ... + 24951474.

It is an arithmetic number, because the mean of its divisors is an integer number (498017520).

Almost surely, 2^34457032704 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 34457032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809681920).

34457032704 is an abundant number, since it is smaller than the sum of its proper divisors (61162331136).

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

34457032704 is a wasteful number, since it uses less digits than its factorization.

34457032704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The spelling of 34457032704 in words is "thirty-four billion, four hundred fifty-seven million, thirty-two thousand, seven hundred four".