3204700800 has 384 divisors, whose sum is σ = 12206837760. Its totient is φ = 723824640.

The previous prime is 3204700757. The next prime is 3204700813. The reversal of 3204700800 is 80074023.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6921369 + ... + 6921831.

It is an arithmetic number, because the mean of its divisors is an integer number (31788640).

Almost surely, 2^3204700800 is an apocalyptic number.

3204700800 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 3204700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103418880).

3204700800 is an abundant number, since it is smaller than the sum of its proper divisors (9002136960).

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

3204700800 is a wasteful number, since it uses less digits than its factorization.

3204700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3204700800 is about 56610.0768414953. The cubic root of 3204700800 is about 1474.3338253806. Note that the first 3 decimals are identical.

Adding to 3204700800 its reverse (80074023), we get a palindrome (3284774823).

The spelling of 3204700800 in words is "three billion, two hundred four million, seven hundred thousand, eight hundred".