3225210400 has 72 divisors (see below), whose sum is σ = 7893596340. Its totient is φ = 1286799360.

The previous prime is 3225210353. The next prime is 3225210419. The reversal of 3225210400 is 40125223.

It can be written as a sum of positive squares in 6 ways, for example, as 1726901136 + 1498309264 = 41556^2 + 38708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322272 + ... + 332128.

Almost surely, 2^3225210400 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 3225210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946798170).

3225210400 is an abundant number, since it is smaller than the sum of its proper divisors (4668385940).

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

3225210400 is a wasteful number, since it uses less digits than its factorization.

3225210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 3225210400 is about 56790.9358964967. The cubic root of 3225210400 is about 1477.4723106956.

Adding to 3225210400 its reverse (40125223), we get a palindrome (3265335623).

The spelling of 3225210400 in words is "three billion, two hundred twenty-five million, two hundred ten thousand, four hundred".