3668889600 has 312 divisors, whose sum is σ = 13488283520. Its totient is φ = 977633280.

The previous prime is 3668889599. The next prime is 3668889613. The reversal of 3668889600 is 69888663.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764137 + ... + 2765463.

Almost surely, 2^3668889600 is an apocalyptic number.

3668889600 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 3668889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744141760).

3668889600 is an abundant number, since it is smaller than the sum of its proper divisors (9819393920).

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

3668889600 is a wasteful number, since it uses less digits than its factorization.

3668889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3668889600 is about 60571.3595686938. The cubic root of 3668889600 is about 1542.3332259907. Note that the first 3 decimals are identical.

The spelling of 3668889600 in words is "three billion, six hundred sixty-eight million, eight hundred eighty-nine thousand, six hundred".