3255724800 has 432 divisors, whose sum is σ = 12135473280. Its totient is φ = 853954560.

The previous prime is 3255724793. The next prime is 3255724807. The reversal of 3255724800 is 84275523.

3255724800 is a `hidden beast` number, since 3 + 2 + 5 + 572 + 4 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3255724793) and next prime (3255724807).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (3255724807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14342287 + ... + 14342513.

Almost surely, 2^3255724800 is an apocalyptic number.

3255724800 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 3255724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067736640).

3255724800 is an abundant number, since it is smaller than the sum of its proper divisors (8879748480).

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

3255724800 is a wasteful number, since it uses less digits than its factorization.

3255724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3255724800 is about 57058.9589810400. The cubic root of 3255724800 is about 1482.1172521107.

The spelling of 3255724800 in words is "three billion, two hundred fifty-five million, seven hundred twenty-four thousand, eight hundred".