3663288 has 48 divisors (see below), whose sum is σ = 10057320. Its totient is φ = 1204416.

The previous prime is 3663277. The next prime is 3663293. The reversal of 3663288 is 8823663.

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

It is a nude number because it is divisible by every one of its digits.

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, 5670 + ... + 6282.

Almost surely, 2^3663288 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 3663288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028660).

3663288 is an abundant number, since it is smaller than the sum of its proper divisors (6394032).

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

3663288 is a wasteful number, since it uses less digits than its factorization.

3663288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 701 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3663288 is about 1913.9717866259. The cubic root of 3663288 is about 154.1547889883.

The spelling of 3663288 in words is "three million, six hundred sixty-three thousand, two hundred eighty-eight".