3660228000 has 960 divisors, whose sum is σ = 15982686720. Its totient is φ = 808704000.

The previous prime is 3660227941. The next prime is 3660228031. The reversal of 3660228000 is 8220663.

3660228000 is a `hidden beast` number, since 36 + 602 + 28 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46331961 + ... + 46332039.

It is an arithmetic number, because the mean of its divisors is an integer number (16648632).

Almost surely, 2^3660228000 is an apocalyptic number.

3660228000 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 3660228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991343360).

3660228000 is an abundant number, since it is smaller than the sum of its proper divisors (12322458720).

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

3660228000 is a wasteful number, since it uses less digits than its factorization.

3660228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3660228000 is about 60499.8181815450. The cubic root of 3660228000 is about 1541.1185442076.

Adding to 3660228000 its reverse (8220663), we get a palindrome (3668448663).

The spelling of 3660228000 in words is "three billion, six hundred sixty million, two hundred twenty-eight thousand".