3224928900 has 288 divisors, whose sum is σ = 10859304960. Its totient is φ = 732948480.

The previous prime is 3224928871. The next prime is 3224928901. The reversal of 3224928900 is 98294223.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3224928901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227977 + ... + 2229423.

It is an arithmetic number, because the mean of its divisors is an integer number (37705920).

Almost surely, 2^3224928900 is an apocalyptic number.

3224928900 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 3224928900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429652480).

3224928900 is an abundant number, since it is smaller than the sum of its proper divisors (7634376060).

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

3224928900 is a wasteful number, since it uses less digits than its factorization.

3224928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3224928900 is about 56788.4574539580. The cubic root of 3224928900 is about 1477.4293242953.

The spelling of 3224928900 in words is "three billion, two hundred twenty-four million, nine hundred twenty-eight thousand, nine hundred".