3643488 has 48 divisors (see below), whose sum is σ = 10629360. Its totient is φ = 1214208.

The previous prime is 3643483. The next prime is 3643511. The reversal of 3643488 is 8843463.

3643488 is a `hidden beast` number, since 3 + 643 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3643488³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 not an unprimeable number, because it can be changed into a prime (3643481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1245 + ... + 2972.

It is an arithmetic number, because the mean of its divisors is an integer number (221445).

Almost surely, 2^3643488 is an apocalyptic number.

It is an amenable number.

3643488 is an abundant number, since it is smaller than the sum of its proper divisors (6985872).

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

3643488 is a wasteful number, since it uses less digits than its factorization.

3643488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4222 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3643488 is about 1908.7922883331. The cubic root of 3643488 is about 153.8765525572.

The spelling of 3643488 in words is "three million, six hundred forty-three thousand, four hundred eighty-eight".