34712050464 has 288 divisors, whose sum is σ = 122460549120. Its totient is φ = 9081870336.

The previous prime is 34712050339. The next prime is 34712050487. The reversal of 34712050464 is 46405021743.

34712050464 is a `hidden beast` number, since 3 + 4 + 71 + 20 + 504 + 64 = 666.

34712050464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3323202 + ... + 3333630.

It is an arithmetic number, because the mean of its divisors is an integer number (425210240).

Almost surely, 2^34712050464 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 34712050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61230274560).

34712050464 is an abundant number, since it is smaller than the sum of its proper divisors (87748498656).

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

34712050464 is a wasteful number, since it uses less digits than its factorization.

34712050464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34712050464 in words is "thirty-four billion, seven hundred twelve million, fifty thousand, four hundred sixty-four".