3322771200 has 864 divisors, whose sum is σ = 14477406720. Its totient is φ = 729907200.

The previous prime is 3322771189. The next prime is 3322771201. The reversal of 3322771200 is 21772233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3322771200² = 22081616895098880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322771201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 49593567 + ... + 49593633.

Almost surely, 2^3322771200 is an apocalyptic number.

3322771200 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 3322771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238703360).

3322771200 is an abundant number, since it is smaller than the sum of its proper divisors (11154635520).

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

3322771200 is a wasteful number, since it uses less digits than its factorization.

3322771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3322771200 is about 57643.4835866119. The cubic root of 3322771200 is about 1492.2221396324. Note that the first 3 decimals are identical.

The spelling of 3322771200 in words is "three billion, three hundred twenty-two million, seven hundred seventy-one thousand, two hundred".