3426068800 has 168 divisors, whose sum is σ = 10510845120. Its totient is φ = 1067827200.

The previous prime is 3426068797. The next prime is 3426068813. The reversal of 3426068800 is 88606243.

It is a self number, because there is not a number n which added to its sum of digits gives 3426068800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109296 + ... + 137104.

Almost surely, 2^3426068800 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 3426068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255422560).

3426068800 is an abundant number, since it is smaller than the sum of its proper divisors (7084776320).

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

3426068800 is a wasteful number, since it uses less digits than its factorization.

3426068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27849 (or 27834 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 3426068800 is about 58532.6302159744. The cubic root of 3426068800 is about 1507.5279053750.

The spelling of 3426068800 in words is "three billion, four hundred twenty-six million, sixty-eight thousand, eight hundred".