3223977600 has 192 divisors, whose sum is σ = 10879303680. Its totient is φ = 838656000.

The previous prime is 3223977553. The next prime is 3223977607. The reversal of 3223977600 is 67793223.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3223977607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389505 + ... + 397695.

It is an arithmetic number, because the mean of its divisors is an integer number (56663040).

Almost surely, 2^3223977600 is an apocalyptic number.

3223977600 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 3223977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439651840).

3223977600 is an abundant number, since it is smaller than the sum of its proper divisors (7655326080).

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

3223977600 is a wasteful number, since it uses less digits than its factorization.

3223977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 3223977600 is about 56780.0810143839. The cubic root of 3223977600 is about 1477.2840377086.

The spelling of 3223977600 in words is "three billion, two hundred twenty-three million, nine hundred seventy-seven thousand, six hundred".