3601824 has 48 divisors (see below), whose sum is σ = 10015488. Its totient is φ = 1129472.

The previous prime is 3601783. The next prime is 3601837. The reversal of 3601824 is 4281063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3601824² = 25946272253952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3601794 and 3601803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (208656).

Almost surely, 2^3601824 is an apocalyptic number.

3601824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744).

3601824 is an abundant number, since it is smaller than the sum of its proper divisors (6413664).

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

3601824 is a wasteful number, since it uses less digits than its factorization.

3601824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3601824 is about 1897.8472014364. The cubic root of 3601824 is about 153.2877663381.

Adding to 3601824 its reverse (4281063), we get a palindrome (7882887).

The spelling of 3601824 in words is "three million, six hundred one thousand, eight hundred twenty-four".