3284752800 has 288 divisors, whose sum is σ = 12506199552. Its totient is φ = 733178880.

The previous prime is 3284752763. The next prime is 3284752841. The reversal of 3284752800 is 82574823.

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, 720127 + ... + 724673.

It is an arithmetic number, because the mean of its divisors is an integer number (43424304).

Almost surely, 2^3284752800 is an apocalyptic number.

3284752800 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 3284752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253099776).

3284752800 is an abundant number, since it is smaller than the sum of its proper divisors (9221446752).

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

3284752800 is a wasteful number, since it uses less digits than its factorization.

3284752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 3284752800 is about 57312.7629764959. The cubic root of 3284752800 is about 1486.5090714412.

The spelling of 3284752800 in words is "three billion, two hundred eighty-four million, seven hundred fifty-two thousand, eight hundred".