3608328900 has 216 divisors, whose sum is σ = 11595195360. Its totient is φ = 865638400.

The previous prime is 3608328883. The next prime is 3608328901. The reversal of 3608328900 is 98238063.

3608328900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3608328901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3883636 + ... + 3884564.

It is an arithmetic number, because the mean of its divisors is an integer number (53681460).

Almost surely, 2^3608328900 is an apocalyptic number.

3608328900 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 3608328900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797597680).

3608328900 is an abundant number, since it is smaller than the sum of its proper divisors (7986866460).

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

3608328900 is a wasteful number, since it uses less digits than its factorization.

3608328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3608328900 is about 60069.3674013636. The cubic root of 3608328900 is about 1533.7999015998.

The spelling of 3608328900 in words is "three billion, six hundred eight million, three hundred twenty-eight thousand, nine hundred".