3283232400 has 480 divisors, whose sum is σ = 13495207680. Its totient is φ = 742625280.

The previous prime is 3283232383. The next prime is 3283232401. The reversal of 3283232400 is 42323823.

3283232400 is a `hidden beast` number, since 3 + 28 + 3 + 232 + 400 = 666.

It is a super-2 number, since 2×3283232400² = 21559229984819520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3283232401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10357042 + ... + 10357358.

It is an arithmetic number, because the mean of its divisors is an integer number (28115016).

Almost surely, 2^3283232400 is an apocalyptic number.

3283232400 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 3283232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747603840).

3283232400 is an abundant number, since it is smaller than the sum of its proper divisors (10211975280).

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

3283232400 is a wasteful number, since it uses less digits than its factorization.

3283232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3283232400 is about 57299.4973799945. The cubic root of 3283232400 is about 1486.2796846020.

The spelling of 3283232400 in words is "three billion, two hundred eighty-three million, two hundred thirty-two thousand, four hundred".