3660093216 has 264 divisors, whose sum is σ = 11718207900. Its totient is φ = 1118624256.

The previous prime is 3660093211. The next prime is 3660093223. The reversal of 3660093216 is 6123900663.

3660093216 is a `hidden beast` number, since 3 + 6 + 600 + 9 + 32 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3069603216 + 590490000 = 55404^2 + 24300^2 .

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 (3660093211) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 24564310 + ... + 24564458.

Almost surely, 2^3660093216 is an apocalyptic number.

3660093216 is a gapful number since it is divisible by the number (36) 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 3660093216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859103950).

3660093216 is an abundant number, since it is smaller than the sum of its proper divisors (8058114684).

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

3660093216 is an equidigital number, since it uses as much as digits as its factorization.

3660093216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3660093216 is about 60498.7042505871. The cubic root of 3660093216 is about 1541.0996272921.

Adding to 3660093216 its reverse (6123900663), we get a palindrome (9783993879).

The spelling of 3660093216 in words is "three billion, six hundred sixty million, ninety-three thousand, two hundred sixteen".