3228595200 has 462 divisors, whose sum is σ = 12068379174. Its totient is φ = 855982080.

The previous prime is 3228595199. The next prime is 3228595213. The reversal of 3228595200 is 25958223.

It can be written as a sum of positive squares in 3 ways, for example, as 717382656 + 2511212544 = 26784^2 + 50112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662314 + ... + 18662486.

Almost surely, 2^3228595200 is an apocalyptic number.

3228595200 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 3228595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034189587).

3228595200 is an abundant number, since it is smaller than the sum of its proper divisors (8839783974).

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

3228595200 is an equidigital number, since it uses as much as digits as its factorization.

3228595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3228595200 is about 56820.7286120127. The cubic root of 3228595200 is about 1477.9889901479.

The spelling of 3228595200 in words is "three billion, two hundred twenty-eight million, five hundred ninety-five thousand, two hundred".