3905616 has 80 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1090560.

The previous prime is 3905599. The next prime is 3905641. The reversal of 3905616 is 6165093.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6580 + ... + 7148.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 2^3905616 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 3905616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

3905616 is an abundant number, since it is smaller than the sum of its proper divisors (7968624).

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

3905616 is a wasteful number, since it uses less digits than its factorization.

3905616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3905616 is about 1976.2631403738. The cubic root of 3905616 is about 157.4816103498.

It can be divided in two parts, 390 and 5616, that added together give a palindrome (6006).

The spelling of 3905616 in words is "three million, nine hundred five thousand, six hundred sixteen".