3668803200 has 192 divisors, whose sum is σ = 13427116800. Its totient is φ = 978324480.

The previous prime is 3668803141. The next prime is 3668803207. The reversal of 3668803200 is 23088663.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (3668803207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65169 + ... + 107631.

It is an arithmetic number, because the mean of its divisors is an integer number (69932900).

Almost surely, 2^3668803200 is an apocalyptic number.

3668803200 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 3668803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713558400).

3668803200 is an abundant number, since it is smaller than the sum of its proper divisors (9758313600).

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

3668803200 is a wasteful number, since it uses less digits than its factorization.

3668803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42496 (or 42473 counting only the distinct ones).

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

The square root of 3668803200 is about 60570.6463561352. The cubic root of 3668803200 is about 1542.3211189092.

The spelling of 3668803200 in words is "three billion, six hundred sixty-eight million, eight hundred three thousand, two hundred".