34738167672 has 144 divisors (see below), whose sum is σ = 102115625040. Its totient is φ = 10663570944.

The previous prime is 34738167649. The next prime is 34738167701. The reversal of 34738167672 is 27676183743.

34738167672 is a `hidden beast` number, since 3 + 473 + 8 + 167 + 6 + 7 + 2 = 666.

34738167672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5557653 + ... + 5563899.

It is an arithmetic number, because the mean of its divisors is an integer number (709136285).

Almost surely, 2^34738167672 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 34738167672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51057812520).

34738167672 is an abundant number, since it is smaller than the sum of its proper divisors (67377457368).

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

34738167672 is a wasteful number, since it uses less digits than its factorization.

34738167672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742 (or 6722 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 34738167672 in words is "thirty-four billion, seven hundred thirty-eight million, one hundred sixty-seven thousand, six hundred seventy-two".