3643024 has 40 divisors (see below), whose sum is σ = 8803008. Its totient is φ = 1418880.

The previous prime is 3643001. The next prime is 3643033. The reversal of 3643024 is 4203463.

3643024 = T₁₉₇ + T₁₉₈ + ... + T₃₀₈.

3643024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3642986 and 3643004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 2710.

Almost surely, 2^3643024 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 3643024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401504).

3643024 is an abundant number, since it is smaller than the sum of its proper divisors (5159984).

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

3643024 is a wasteful number, since it uses less digits than its factorization.

3643024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3643024 is about 1908.6707416419. The cubic root of 3643024 is about 153.8700201948.

Adding to 3643024 its reverse (4203463), we get a palindrome (7846487).

The spelling of 3643024 in words is "three million, six hundred forty-three thousand, twenty-four".