3660357600 has 432 divisors, whose sum is σ = 14104097280. Its totient is φ = 923788800.

The previous prime is 3660357587. The next prime is 3660357611. The reversal of 3660357600 is 67530663.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3693105 + ... + 3694095.

Almost surely, 2^3660357600 is an apocalyptic number.

3660357600 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 3660357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052048640).

3660357600 is an abundant number, since it is smaller than the sum of its proper divisors (10443739680).

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

3660357600 is a wasteful number, since it uses less digits than its factorization.

3660357600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3660357600 is about 60500.8892496631. The cubic root of 3660357600 is about 1541.1367331115.

The spelling of 3660357600 in words is "three billion, six hundred sixty million, three hundred fifty-seven thousand, six hundred".