34166346016 has 72 divisors (see below), whose sum is σ = 74091810240. Its totient is φ = 15497412480.

The previous prime is 34166346007. The next prime is 34166346017. The reversal of 34166346016 is 61064366143.

It is a self number, because there is not a number n which added to its sum of digits gives 34166346016.

It is not an unprimeable number, because it can be changed into a prime (34166346017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1876605 + ... + 1894723.

It is an arithmetic number, because the mean of its divisors is an integer number (1029052920).

Almost surely, 2^34166346016 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 34166346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37045905120).

34166346016 is an abundant number, since it is smaller than the sum of its proper divisors (39925464224).

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

34166346016 is a wasteful number, since it uses less digits than its factorization.

34166346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18638 (or 18619 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 34166346016 in words is "thirty-four billion, one hundred sixty-six million, three hundred forty-six thousand, sixteen".