3663800 has 48 divisors (see below), whose sum is σ = 9738960. Its totient is φ = 1255680.

The previous prime is 3663767. The next prime is 3663811. The reversal of 3663800 is 83663.

It is a super-3 number, since 3×3663800³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3663800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (202895).

Almost surely, 2^3663800 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 3663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869480).

3663800 is an abundant number, since it is smaller than the sum of its proper divisors (6075160).

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

3663800 is a wasteful number, since it uses less digits than its factorization.

3663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3663800 is about 1914.1055352305. The cubic root of 3663800 is about 154.1619704762.

It can be divided in two parts, 36 and 63800, that added together give a palindrome (63836).

The spelling of 3663800 in words is "three million, six hundred sixty-three thousand, eight hundred".