34122076800 has 384 divisors, whose sum is σ = 128957996160. Its totient is φ = 7768227840.

The previous prime is 34122076799. The next prime is 34122076819. The reversal of 34122076800 is 867022143.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×34122076800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19688734 + ... + 19690466.

It is an arithmetic number, because the mean of its divisors is an integer number (335828115).

Almost surely, 2^34122076800 is an apocalyptic number.

34122076800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34122076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64478998080).

34122076800 is an abundant number, since it is smaller than the sum of its proper divisors (94835919360).

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

34122076800 is a wasteful number, since it uses less digits than its factorization.

34122076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 34122076800 its reverse (867022143), we get a palindrome (34989098943).

The spelling of 34122076800 in words is "thirty-four billion, one hundred twenty-two million, seventy-six thousand, eight hundred".