3631824 has 80 divisors (see below), whose sum is σ = 11923840. Its totient is φ = 1036800.

The previous prime is 3631813. The next prime is 3631841. The reversal of 3631824 is 4281363.

It is a happy number.

3631824 is a `hidden beast` number, since 3 + 631 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 3624.

It is an arithmetic number, because the mean of its divisors is an integer number (149048).

Almost surely, 2^3631824 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 3631824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961920).

3631824 is an abundant number, since it is smaller than the sum of its proper divisors (8292016).

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

3631824 is a wasteful number, since it uses less digits than its factorization.

3631824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1213 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3631824 is about 1905.7345040692. The cubic root of 3631824 is about 153.7121739189.

It can be divided in two parts, 363 and 1824, that added together give a 7-th power (2187 = 3⁷).

The spelling of 3631824 in words is "three million, six hundred thirty-one thousand, eight hundred twenty-four".