3684800 has 126 divisors (see below), whose sum is σ = 10771632. Its totient is φ = 1236480.

The previous prime is 3684781. The next prime is 3684809. The reversal of 3684800 is 84863.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78377 + ... + 78423.

Almost surely, 2^3684800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385816).

3684800 is an abundant number, since it is smaller than the sum of its proper divisors (7086832).

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

3684800 is a wasteful number, since it uses less digits than its factorization.

3684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3684800 is about 1919.5832881123. The cubic root of 3684800 is about 154.4559490114.

The spelling of 3684800 in words is "three million, six hundred eighty-four thousand, eight hundred".