3927616 has 56 divisors (see below), whose sum is σ = 9729216. Its totient is φ = 1528320.

The previous prime is 3927611. The next prime is 3927647. The reversal of 3927616 is 6167293.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3927611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4530 + ... + 5326.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 2^3927616 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 3927616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608).

3927616 is an abundant number, since it is smaller than the sum of its proper divisors (5801600).

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

3927616 is a wasteful number, since it uses less digits than its factorization.

3927616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 817 counting only the distinct ones).

The product of its digits is 13608, while the sum is 34.

The square root of 3927616 is about 1981.8213844845. The cubic root of 3927616 is about 157.7767503441.

It can be divided in two parts, 392 and 7616, that added together give a palindrome (8008).

The spelling of 3927616 in words is "three million, nine hundred twenty-seven thousand, six hundred sixteen".