3282230400 has 384 divisors, whose sum is σ = 11474265600. Its totient is φ = 823296000.

The previous prime is 3282230389. The next prime is 3282230437. The reversal of 3282230400 is 40322823.

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 a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12201466 + ... + 12201734.

It is an arithmetic number, because the mean of its divisors is an integer number (29880900).

Almost surely, 2^3282230400 is an apocalyptic number.

3282230400 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 3282230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737132800).

3282230400 is an abundant number, since it is smaller than the sum of its proper divisors (8192035200).

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

3282230400 is a wasteful number, since it uses less digits than its factorization.

3282230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3282230400 is about 57290.7531805963. The cubic root of 3282230400 is about 1486.1284714489.

The spelling of 3282230400 in words is "three billion, two hundred eighty-two million, two hundred thirty thousand, four hundred".