3684025800 has 1152 divisors, whose sum is σ = 17061408000. Its totient is φ = 731566080.

The previous prime is 3684025789. The next prime is 3684025801. The reversal of 3684025800 is 85204863.

3684025800 is a `hidden beast` number, since 36 + 8 + 40 + 2 + 580 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3684025801) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 216707392 + ... + 216707408.

It is an arithmetic number, because the mean of its divisors is an integer number (14810250).

Almost surely, 2^3684025800 is an apocalyptic number.

3684025800 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 3684025800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704000).

3684025800 is an abundant number, since it is smaller than the sum of its proper divisors (13377382200).

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

3684025800 is a wasteful number, since it uses less digits than its factorization.

3684025800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3684025800 is about 60696.1761563280. The cubic root of 3684025800 is about 1544.4513086012.

The spelling of 3684025800 in words is "three billion, six hundred eighty-four million, twenty-five thousand, eight hundred".