34656734844 has 144 divisors (see below), whose sum is σ = 95782377600. Its totient is φ = 10926881856.

The previous prime is 34656734767. The next prime is 34656734873. The reversal of 34656734844 is 44843765643.

34656734844 is a `hidden beast` number, since 3 + 4 + 6 + 567 + 34 + 8 + 44 = 666.

34656734844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 16749442 + ... + 16751510.

It is an arithmetic number, because the mean of its divisors is an integer number (665155400).

Almost surely, 2^34656734844 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 34656734844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47891188800).

34656734844 is an abundant number, since it is smaller than the sum of its proper divisors (61125642756).

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

34656734844 is a wasteful number, since it uses less digits than its factorization.

34656734844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3000 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 34656734844 in words is "thirty-four billion, six hundred fifty-six million, seven hundred thirty-four thousand, eight hundred forty-four".