3222002400 has 72 divisors (see below), whose sum is σ = 10487625624. Its totient is φ = 859200000.

The previous prime is 3222002389. The next prime is 3222002467. The reversal of 3222002400 is 42002223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3222002400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 668851 + ... + 673650.

It is an arithmetic number, because the mean of its divisors is an integer number (145661467).

Almost surely, 2^3222002400 is an apocalyptic number.

3222002400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3222002400 is an abundant number, since it is smaller than the sum of its proper divisors (7265623224).

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

3222002400 is a wasteful number, since it uses less digits than its factorization.

3222002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342524 (or 1342511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3222002400 is about 56762.6849259265. The cubic root of 3222002400 is about 1476.9822854535.

Adding to 3222002400 its reverse (42002223), we get a palindrome (3264004623).

The spelling of 3222002400 in words is "three billion, two hundred twenty-two million, two thousand, four hundred".