3296448000 has 480 divisors, whose sum is σ = 12198906720. Its totient is φ = 855244800.

The previous prime is 3296447981. The next prime is 3296448007. The reversal of 3296448000 is 8446923.

It is a happy number.

3296448000 is a `hidden beast` number, since 3 + 2 + 9 + 644 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3296448007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33983952 + ... + 33984048.

It is an arithmetic number, because the mean of its divisors is an integer number (25414389).

Almost surely, 2^3296448000 is an apocalyptic number.

3296448000 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 3296448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099453360).

3296448000 is an abundant number, since it is smaller than the sum of its proper divisors (8902458720).

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

3296448000 is an equidigital number, since it uses as much as digits as its factorization.

3296448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3296448000 is about 57414.7019499361. The cubic root of 3296448000 is about 1488.2711958008.

The spelling of 3296448000 in words is "three billion, two hundred ninety-six million, four hundred forty-eight thousand".