34066066416 has 80 divisors (see below), whose sum is σ = 92800012800. Its totient is φ = 10738635264.

The previous prime is 34066066387. The next prime is 34066066457. The reversal of 34066066416 is 61466066043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486105 + ... + 551751.

It is an arithmetic number, because the mean of its divisors is an integer number (1160000160).

Almost surely, 2^34066066416 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 34066066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46400006400).

34066066416 is an abundant number, since it is smaller than the sum of its proper divisors (58733946384).

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

34066066416 is a wasteful number, since it uses less digits than its factorization.

34066066416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66246 (or 66240 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 34066066416 in words is "thirty-four billion, sixty-six million, sixty-six thousand, four hundred sixteen".