3681684000 has 288 divisors, whose sum is σ = 13491878400. Its totient is φ = 949824000.

The previous prime is 3681683987. The next prime is 3681684029. The reversal of 3681684000 is 4861863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114351 + ... + 1117649.

It is an arithmetic number, because the mean of its divisors is an integer number (46846800).

Almost surely, 2^3681684000 is an apocalyptic number.

3681684000 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 3681684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745939200).

3681684000 is an abundant number, since it is smaller than the sum of its proper divisors (9810194400).

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

3681684000 is a wasteful number, since it uses less digits than its factorization.

3681684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3681684000 is about 60676.8819238431. The cubic root of 3681684000 is about 1544.1239888975.

The spelling of 3681684000 in words is "three billion, six hundred eighty-one million, six hundred eighty-four thousand".