3624816 has 80 divisors (see below), whose sum is σ = 10422944. Its totient is φ = 1078272.

The previous prime is 3624811. The next prime is 3624821. The reversal of 3624816 is 6184263.

It is an interprime number because it is at equal distance from previous prime (3624811) and next prime (3624821).

It is a super-3 number, since 3×3624816³ (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3624811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23010 + ... + 23166.

Almost surely, 2^3624816 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 3624816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211472).

3624816 is an abundant number, since it is smaller than the sum of its proper divisors (6798128).

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

3624816 is a wasteful number, since it uses less digits than its factorization.

3624816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3624816 is about 1903.8949550855. The cubic root of 3624816 is about 153.6132421309.

The spelling of 3624816 in words is "three million, six hundred twenty-four thousand, eight hundred sixteen".