34453883904 has 176 divisors, whose sum is σ = 100386190080. Its totient is φ = 10419159040.

The previous prime is 34453883837. The next prime is 34453883911. The reversal of 34453883904 is 40938835443.

It is a tau number, because it is divible by the number of its divisors (176).

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, 26120557 + ... + 26121875.

It is an arithmetic number, because the mean of its divisors is an integer number (570376080).

Almost surely, 2^34453883904 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 34453883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193095040).

34453883904 is an abundant number, since it is smaller than the sum of its proper divisors (65932306176).

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

34453883904 is a wasteful number, since it uses less digits than its factorization.

34453883904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 34453883904 in words is "thirty-four billion, four hundred fifty-three million, eight hundred eighty-three thousand, nine hundred four".