3660729120 has 192 divisors, whose sum is σ = 12872442240. Its totient is φ = 971633664.

The previous prime is 3660729071. The next prime is 3660729161. The reversal of 3660729120 is 219270663.

3660729120 is a `hidden beast` number, since 3 + 6 + 607 + 29 + 1 + 20 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 978774 + ... + 982506.

It is an arithmetic number, because the mean of its divisors is an integer number (67043970).

Almost surely, 2^3660729120 is an apocalyptic number.

3660729120 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 3660729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436221120).

3660729120 is an abundant number, since it is smaller than the sum of its proper divisors (9211713120).

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

3660729120 is a wasteful number, since it uses less digits than its factorization.

3660729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3660729120 is about 60503.9595398516. The cubic root of 3660729120 is about 1541.1888722567.

Adding to 3660729120 its reverse (219270663), we get a palindrome (3879999783).

The spelling of 3660729120 in words is "three billion, six hundred sixty million, seven hundred twenty-nine thousand, one hundred twenty".