3643632 has 30 divisors (see below), whose sum is σ = 10197512. Its totient is φ = 1214496.

The previous prime is 3643631. The next prime is 3643639. The reversal of 3643632 is 2363463.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3643596 and 3643605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12508 + ... + 12795.

Almost surely, 2^3643632 is an apocalyptic number.

It is an amenable number.

3643632 is an abundant number, since it is smaller than the sum of its proper divisors (6553880).

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

3643632 is a wasteful number, since it uses less digits than its factorization.

3643632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25317 (or 25308 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3643632 is about 1908.8300081464. The cubic root of 3643632 is about 153.8785797293.

The spelling of 3643632 in words is "three million, six hundred forty-three thousand, six hundred thirty-two".