3631488 has 96 divisors (see below), whose sum is σ = 11279160. Its totient is φ = 1032192.

The previous prime is 3631487. The next prime is 3631501. The reversal of 3631488 is 8841363.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631487) 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, 18720 + ... + 18912.

Almost surely, 2^3631488 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 3631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639580).

3631488 is an abundant number, since it is smaller than the sum of its proper divisors (7647672).

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

3631488 is a wasteful number, since it uses less digits than its factorization.

3631488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3631488 is about 1905.6463470434. The cubic root of 3631488 is about 153.7074335201.

The spelling of 3631488 in words is "three million, six hundred thirty-one thousand, four hundred eighty-eight".