3224400000 has 192 divisors, whose sum is σ = 10709314560. Its totient is φ = 859520000.

The previous prime is 3224399987. The next prime is 3224400043. The reversal of 3224400000 is 44223.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198657 + ... + 1201343.

It is an arithmetic number, because the mean of its divisors is an integer number (55777680).

Almost surely, 2^3224400000 is an apocalyptic number.

3224400000 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 3224400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354657280).

3224400000 is an abundant number, since it is smaller than the sum of its proper divisors (7484914560).

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

3224400000 is an frugal number, since it uses more digits than its factorization.

3224400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2697 counting only the distinct ones).

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

The square root of 3224400000 is about 56783.8005068347. The cubic root of 3224400000 is about 1477.3485519624.

Adding to 3224400000 its reverse (44223), we get a palindrome (3224444223).

The spelling of 3224400000 in words is "three billion, two hundred twenty-four million, four hundred thousand".