3665865600 has 240 divisors, whose sum is σ = 13528806720. Its totient is φ = 977495040.

The previous prime is 3665865583. The next prime is 3665865629. The reversal of 3665865600 is 65685663.

3665865600 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 86 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 252129 + ... + 266271.

It is an arithmetic number, because the mean of its divisors is an integer number (56370028).

Almost surely, 2^3665865600 is an apocalyptic number.

3665865600 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 3665865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764403360).

3665865600 is an abundant number, since it is smaller than the sum of its proper divisors (9862941120).

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

3665865600 is a wasteful number, since it uses less digits than its factorization.

3665865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3665865600 is about 60546.3921303326. The cubic root of 3665865600 is about 1541.9093649888.

The spelling of 3665865600 in words is "three billion, six hundred sixty-five million, eight hundred sixty-five thousand, six hundred".