3663000 has 192 divisors, whose sum is σ = 13871520. Its totient is φ = 864000.

The previous prime is 3662999. The next prime is 3663001. The reversal of 3663000 is 3663.

3663000 = T₃₄₁ + T₃₄₂ + ... + T₃₉₄.

3663000 is a `hidden beast` number, since 3 + 663 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3662999) and next prime (3663001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98982 + ... + 99018.

Almost surely, 2^3663000 is an apocalyptic number.

3663000 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 3663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935760).

3663000 is an abundant number, since it is smaller than the sum of its proper divisors (10208520).

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

3663000 is a wasteful number, since it uses less digits than its factorization.

3663000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3663000 is about 1913.8965489284. The cubic root of 3663000 is about 154.1507491073.

Adding to 3663000 its reverse (3663), we get a palindrome (3666663).

3663000 divided by its reverse (3663) gives a cube (1000 = 10³).

It can be divided in two parts, 36 and 63000, that added together give a palindrome (63036).

The spelling of 3663000 in words is "three million, six hundred sixty-three thousand".