3294432000 has 720 divisors, whose sum is σ = 12963734784. Its totient is φ = 829440000.

The previous prime is 3294431999. The next prime is 3294432017. The reversal of 3294432000 is 2344923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 80351980 + ... + 80352020.

Almost surely, 2^3294432000 is an apocalyptic number.

3294432000 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 3294432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481867392).

3294432000 is an abundant number, since it is smaller than the sum of its proper divisors (9669302784).

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

3294432000 is an equidigital number, since it uses as much as digits as its factorization.

3294432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3294432000 is about 57397.1427860307. The cubic root of 3294432000 is about 1487.9677412361.

Adding to 3294432000 its reverse (2344923), we get a palindrome (3296776923).

The spelling of 3294432000 in words is "three billion, two hundred ninety-four million, four hundred thirty-two thousand".