3298268800 has 192 divisors, whose sum is σ = 8489021400. Its totient is φ = 1265172480.

The previous prime is 3298268797. The next prime is 3298268801. The reversal of 3298268800 is 88628923.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5345344 + 3292923456 = 2312^2 + 57384^2 .

It is not an unprimeable number, because it can be changed into a prime (3298268801) 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, 10537444 + ... + 10537756.

Almost surely, 2^3298268800 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 3298268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244510700).

3298268800 is an abundant number, since it is smaller than the sum of its proper divisors (5190752600).

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

3298268800 is a wasteful number, since it uses less digits than its factorization.

3298268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 3298268800 is about 57430.5563267500. The cubic root of 3298268800 is about 1488.5451619422.

The spelling of 3298268800 in words is "three billion, two hundred ninety-eight million, two hundred sixty-eight thousand, eight hundred".