3803616 has 72 divisors (see below), whose sum is σ = 11085984. Its totient is φ = 1236480.

The previous prime is 3803609. The next prime is 3803617. The reversal of 3803616 is 6163083.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 3803616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13396 + ... + 13676.

It is an arithmetic number, because the mean of its divisors is an integer number (153972).

Almost surely, 2^3803616 is an apocalyptic number.

3803616 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 3803616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542992).

3803616 is an abundant number, since it is smaller than the sum of its proper divisors (7282368).

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

3803616 is a wasteful number, since it uses less digits than its factorization.

3803616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3803616 is about 1950.2861328533. The cubic root of 3803616 is about 156.0985570503.

Adding to 3803616 its reverse (6163083), we get a palindrome (9966699).

The spelling of 3803616 in words is "three million, eight hundred three thousand, six hundred sixteen".