3631104 has 72 divisors (see below), whose sum is σ = 10540530. Its totient is φ = 1204224.

The previous prime is 3631073. The next prime is 3631139. The reversal of 3631104 is 4011363.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 1557504 = 1440^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18334 + ... + 18530.

Almost surely, 2^3631104 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 3631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270265).

3631104 is an abundant number, since it is smaller than the sum of its proper divisors (6909426).

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

3631104 is a wasteful number, since it uses less digits than its factorization.

3631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3631104 is about 1905.5455911628. The cubic root of 3631104 is about 153.7020155633.

Adding to 3631104 its reverse (4011363), we get a palindrome (7642467).

The spelling of 3631104 in words is "three million, six hundred thirty-one thousand, one hundred four".