3684484800 has 672 divisors, whose sum is σ = 14796820800. Its totient is φ = 887685120.

The previous prime is 3684484777. The next prime is 3684484813. The reversal of 3684484800 is 84844863.

3684484800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 21297514 + ... + 21297686.

Almost surely, 2^3684484800 is an apocalyptic number.

3684484800 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 3684484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398410400).

3684484800 is an abundant number, since it is smaller than the sum of its proper divisors (11112336000).

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

3684484800 is a wasteful number, since it uses less digits than its factorization.

3684484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3684484800 is about 60699.9571663770. The cubic root of 3684484800 is about 1544.5154480101.

It can be divided in two parts, 368448 and 4800, that added together give a cube (373248 = 72³).

The spelling of 3684484800 in words is "three billion, six hundred eighty-four million, four hundred eighty-four thousand, eight hundred".