3232828800 has 768 divisors, whose sum is σ = 13113446400. Its totient is φ = 774144000.

The previous prime is 3232828799. The next prime is 3232828801. The reversal of 3232828800 is 88282323.

It is an interprime number because it is at equal distance from previous prime (3232828799) and next prime (3232828801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232828801) 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, 45532765 + ... + 45532835.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^3232828800 is an apocalyptic number.

3232828800 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 3232828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556723200).

3232828800 is an abundant number, since it is smaller than the sum of its proper divisors (9880617600).

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

3232828800 is a wasteful number, since it uses less digits than its factorization.

3232828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3232828800 is about 56857.9704175237. The cubic root of 3232828800 is about 1478.6347282889.

The spelling of 3232828800 in words is "three billion, two hundred thirty-two million, eight hundred twenty-eight thousand, eight hundred".