3668328000 has 784 divisors, whose sum is σ = 14811688944. Its totient is φ = 895795200.

The previous prime is 3668327989. The next prime is 3668328007. The reversal of 3668328000 is 8238663.

It can be written as a sum of positive squares in 8 ways, for example, as 191102976 + 3477225024 = 13824^2 + 58968^2 .

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 (3668328007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 99143982 + ... + 99144018.

Almost surely, 2^3668328000 is an apocalyptic number.

3668328000 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 3668328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405844472).

3668328000 is an abundant number, since it is smaller than the sum of its proper divisors (11143360944).

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

3668328000 is an equidigital number, since it uses as much as digits as its factorization.

3668328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

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

The square root of 3668328000 is about 60566.7235369390. The cubic root of 3668328000 is about 1542.2545265627.

The spelling of 3668328000 in words is "three billion, six hundred sixty-eight million, three hundred twenty-eight thousand".