3328905600 has 336 divisors, whose sum is σ = 12338155620. Its totient is φ = 887086080.

The previous prime is 3328905599. The next prime is 3328905607. The reversal of 3328905600 is 65098233.

3328905600 is a `hidden beast` number, since 3 + 3 + 2 + 8 + 90 + 560 + 0 = 666.

It is a super-2 number, since 2×3328905600² = 22163224987422720000, which contains 22 as substring.

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 (3328905607) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2332087 + ... + 2333513.

Almost surely, 2^3328905600 is an apocalyptic number.

3328905600 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 3328905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169077810).

3328905600 is an abundant number, since it is smaller than the sum of its proper divisors (9009250020).

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

3328905600 is an equidigital number, since it uses as much as digits as its factorization.

3328905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3328905600 is about 57696.6688813141. The cubic root of 3328905600 is about 1493.1398736064.

The spelling of 3328905600 in words is "three billion, three hundred twenty-eight million, nine hundred five thousand, six hundred".