3422275200 has 288 divisors, whose sum is σ = 12282472800. Its totient is φ = 907315200.

The previous prime is 3422275187. The next prime is 3422275261. The reversal of 3422275200 is 25722243.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 9532621 + ... + 9532979.

It is an arithmetic number, because the mean of its divisors is an integer number (42647475).

Almost surely, 2^3422275200 is an apocalyptic number.

3422275200 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 3422275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141236400).

3422275200 is an abundant number, since it is smaller than the sum of its proper divisors (8860197600).

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

3422275200 is a wasteful number, since it uses less digits than its factorization.

3422275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3422275200 is about 58500.2153842189. The cubic root of 3422275200 is about 1506.9712839415.

Adding to 3422275200 its reverse (25722243), we get a palindrome (3447997443).

The spelling of 3422275200 in words is "three billion, four hundred twenty-two million, two hundred seventy-five thousand, two hundred".