3686860800 has 720 divisors, whose sum is σ = 15728993280. Its totient is φ = 836075520.

The previous prime is 3686860789. The next prime is 3686860823. The reversal of 3686860800 is 80686863.

3686860800 is a `hidden beast` number, since 36 + 8 + 6 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29030337 + ... + 29030463.

It is an arithmetic number, because the mean of its divisors is an integer number (21845824).

Almost surely, 2^3686860800 is an apocalyptic number.

3686860800 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 3686860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864496640).

3686860800 is an abundant number, since it is smaller than the sum of its proper divisors (12042132480).

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

3686860800 is a wasteful number, since it uses less digits than its factorization.

3686860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3686860800 is about 60719.5256898471. The cubic root of 3686860800 is about 1544.8473786463.

The spelling of 3686860800 in words is "three billion, six hundred eighty-six million, eight hundred sixty thousand, eight hundred".