34116836800 has 84 divisors (see below), whose sum is σ = 84032902800. Its totient is φ = 13633054720.

The previous prime is 34116836797. The next prime is 34116836837. The reversal of 34116836800 is 863861143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1668237 + ... + 1688563.

It is an arithmetic number, because the mean of its divisors is an integer number (1000391700).

Almost surely, 2^34116836800 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 34116836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42016451400).

34116836800 is an abundant number, since it is smaller than the sum of its proper divisors (49916066000).

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

34116836800 is a wasteful number, since it uses less digits than its factorization.

34116836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21398 (or 21383 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 34116836800 in words is "thirty-four billion, one hundred sixteen million, eight hundred thirty-six thousand, eight hundred".