3623616 has 84 divisors (see below), whose sum is σ = 10817352. Its totient is φ = 1202688.

The previous prime is 3623597. The next prime is 3623639. The reversal of 3623616 is 6163263.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3623616.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15436 + ... + 15668.

It is an arithmetic number, because the mean of its divisors is an integer number (128778).

Almost surely, 2^3623616 is an apocalyptic number.

3623616 is a gapful number since it is divisible by the number (36) 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 3623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408676).

3623616 is an abundant number, since it is smaller than the sum of its proper divisors (7193736).

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

3623616 is an equidigital number, since it uses as much as digits as its factorization.

3623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3623616 is about 1903.5797855619. The cubic root of 3623616 is about 153.5962889728.

Adding to 3623616 its reverse (6163263), we get a palindrome (9786879).

The spelling of 3623616 in words is "three million, six hundred twenty-three thousand, six hundred sixteen".