3322755200 has 72 divisors (see below), whose sum is σ = 8216306805. Its totient is φ = 1327797760.

The previous prime is 3322755197. The next prime is 3322755223. The reversal of 3322755200 is 25572233.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3256300096 + 66455104 = 57064^2 + 8152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40760.

It is a super-2 number, since 2×3322755200² = 22081404238254080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3260291 + ... + 3261309.

Almost surely, 2^3322755200 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 3322755200

3322755200 is an abundant number, since it is smaller than the sum of its proper divisors (4893551605).

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

3322755200 is an frugal number, since it uses more digits than its factorization.

3322755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 3322755200 is about 57643.3448023274. The cubic root of 3322755200 is about 1492.2197444838.

The spelling of 3322755200 in words is "three billion, three hundred twenty-two million, seven hundred fifty-five thousand, two hundred".