3631632 has 20 divisors (see below), whose sum is σ = 9381840. Its totient is φ = 1210528.

The previous prime is 3631609. The next prime is 3631633. The reversal of 3631632 is 2361363.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (3631633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37782 + ... + 37877.

It is an arithmetic number, because the mean of its divisors is an integer number (469092).

Almost surely, 2^3631632 is an apocalyptic number.

It is an amenable number.

3631632 is an abundant number, since it is smaller than the sum of its proper divisors (5750208).

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

3631632 is a wasteful number, since it uses less digits than its factorization.

3631632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75670 (or 75664 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 3631632 is about 1905.6841291253. The cubic root of 3631632 is about 153.7094651554.

Adding to 3631632 its reverse (2361363), we get a palindrome (5992995).

It can be divided in two parts, 363 and 1632, that multiplied together give a triangular number (592416 = T₁₀₈₈).

The spelling of 3631632 in words is "three million, six hundred thirty-one thousand, six hundred thirty-two".