3660616800 has 360 divisors, whose sum is σ = 14139079416. Its totient is φ = 918466560.

The previous prime is 3660616777. The next prime is 3660616801. The reversal of 3660616800 is 86160663.

3660616800 is a `hidden beast` number, since 36 + 6 + 0 + 616 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660616801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1099939 + ... + 1103261.

Almost surely, 2^3660616800 is an apocalyptic number.

3660616800 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 3660616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069539708).

3660616800 is an abundant number, since it is smaller than the sum of its proper divisors (10478462616).

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

3660616800 is a wasteful number, since it uses less digits than its factorization.

3660616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3660616800 is about 60503.0313290169. The cubic root of 3660616800 is about 1541.1731096314.

The spelling of 3660616800 in words is "three billion, six hundred sixty million, six hundred sixteen thousand, eight hundred".