3633642 has 24 divisors (see below), whose sum is σ = 8145540. Its totient is φ = 1169280.

The previous prime is 3633583. The next prime is 3633647. The reversal of 3633642 is 2463363.

It can be written as a sum of positive squares in 2 ways, for example, as 3538161 + 95481 = 1881^2 + 309^2 .

It is not an unprimeable number, because it can be changed into a prime (3633647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2959 + ... + 4002.

Almost surely, 2^3633642 is an apocalyptic number.

3633642 is an abundant number, since it is smaller than the sum of its proper divisors (4511898).

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

3633642 is a wasteful number, since it uses less digits than its factorization.

3633642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6995 counting only the distinct ones).

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

The square root of 3633642 is about 1906.2114258392. The cubic root of 3633642 is about 153.7378177935.

It can be divided in two parts, 363 and 3642, that added together give a triangular number (4005 = T₈₉).

The spelling of 3633642 in words is "three million, six hundred thirty-three thousand, six hundred forty-two".