34610404446 has 96 divisors (see below), whose sum is σ = 81290926080. Its totient is φ = 10606377600.

The previous prime is 34610404379. The next prime is 34610404459. The reversal of 34610404446 is 64440401643.

34610404446 is a `hidden beast` number, since 34 + 610 + 4 + 0 + 4 + 4 + 4 + 6 = 666.

34610404446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34610404446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2671741 + ... + 2684663.

It is an arithmetic number, because the mean of its divisors is an integer number (846780480).

Almost surely, 2^34610404446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34610404446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40645463040).

34610404446 is an abundant number, since it is smaller than the sum of its proper divisors (46680521634).

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

34610404446 is a wasteful number, since it uses less digits than its factorization.

34610404446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13182 (or 13179 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34610404446 in words is "thirty-four billion, six hundred ten million, four hundred four thousand, four hundred forty-six".