3229840800 has 216 divisors, whose sum is σ = 11459477484. Its totient is φ = 855982080.

The previous prime is 3229840777. The next prime is 3229840843. The reversal of 3229840800 is 80489223.

It can be written as a sum of positive squares in 6 ways, for example, as 2093611536 + 1136229264 = 45756^2 + 33708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1244304 + ... + 1246896.

Almost surely, 2^3229840800 is an apocalyptic number.

3229840800 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 3229840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729738742).

3229840800 is an abundant number, since it is smaller than the sum of its proper divisors (8229636684).

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

3229840800 is a wasteful number, since it uses less digits than its factorization.

3229840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3229840800 is about 56831.6883437401. The cubic root of 3229840800 is about 1478.1790363105.

The spelling of 3229840800 in words is "three billion, two hundred twenty-nine million, eight hundred forty thousand, eight hundred".