34169410016 has 96 divisors (see below), whose sum is σ = 80072520192. Its totient is φ = 14047326720.

The previous prime is 34169410003. The next prime is 34169410039. The reversal of 34169410016 is 61001496143.

It is a super-3 number, since 3×34169410016³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 559415 + ... + 617481.

It is an arithmetic number, because the mean of its divisors is an integer number (834088752).

Almost surely, 2^34169410016 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 34169410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40036260096).

34169410016 is an abundant number, since it is smaller than the sum of its proper divisors (45903110176).

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

34169410016 is a wasteful number, since it uses less digits than its factorization.

34169410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58192 (or 58184 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 34169410016 in words is "thirty-four billion, one hundred sixty-nine million, four hundred ten thousand, sixteen".