3303322400 has 144 divisors (see below), whose sum is σ = 9270031680. Its totient is φ = 1125964800.

The previous prime is 3303322369. The next prime is 3303322403. The reversal of 3303322400 is 42233033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3303322403) 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 23 ways as a sum of consecutive naturals, for example, 1011971 + ... + 1015229.

It is an arithmetic number, because the mean of its divisors is an integer number (64375220).

Almost surely, 2^3303322400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3303322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635015840).

3303322400 is an abundant number, since it is smaller than the sum of its proper divisors (5966709280).

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

3303322400 is a wasteful number, since it uses less digits than its factorization.

3303322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3303322400 is about 57474.5369707317. The cubic root of 3303322400 is about 1489.3050224995.

Adding to 3303322400 its reverse (42233033), we get a palindrome (3345555433).

The spelling of 3303322400 in words is "three billion, three hundred three million, three hundred twenty-two thousand, four hundred".