3223968400 has 135 divisors (see below), whose sum is σ = 8277572539. Its totient is φ = 1206461440.

The previous prime is 3223968373. The next prime is 3223968403. The reversal of 3223968400 is 48693223.

The square root of 3223968400 is 56780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 75411856 + 3148556544 = 8684^2 + 56112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3223968400.

It is not an unprimeable number, because it can be changed into a prime (3223968403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19305117 + ... + 19305283.

Almost surely, 2^3223968400 is an apocalyptic number.

3223968400 is the 56780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223968400

3223968400 is an abundant number, since it is smaller than the sum of its proper divisors (5053604139).

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

3223968400 is a wasteful number, since it uses less digits than its factorization.

3223968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The cubic root of 3223968400 is about 1477.2826325059.

The spelling of 3223968400 in words is "three billion, two hundred twenty-three million, nine hundred sixty-eight thousand, four hundred".