3221275200 has 756 divisors, whose sum is σ = 13175973648. Its totient is φ = 682905600.

The previous prime is 3221275159. The next prime is 3221275207. The reversal of 3221275200 is 25721223.

It is a happy number.

It is a super-2 number, since 2×3221275200² = 20753227828270080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3221275207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 169540791 + ... + 169540809.

Almost surely, 2^3221275200 is an apocalyptic number.

3221275200 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 3221275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587986824).

3221275200 is an abundant number, since it is smaller than the sum of its proper divisors (9954698448).

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

3221275200 is a wasteful number, since it uses less digits than its factorization.

3221275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3221275200 is about 56756.2789477957. The cubic root of 3221275200 is about 1476.8711597001.

Adding to 3221275200 its reverse (25721223), we get a palindrome (3246996423).

The spelling of 3221275200 in words is "three billion, two hundred twenty-one million, two hundred seventy-five thousand, two hundred".