3965616 has 30 divisors (see below), whose sum is σ = 11098620. Its totient is φ = 1321824.

The previous prime is 3965587. The next prime is 3965617. The reversal of 3965616 is 6165693.

3965616 is a `hidden beast` number, since 3 + 96 + 561 + 6 = 666.

It is a super-2 number, since 2×3965616² = 31452220518912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3965617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13626 + ... + 13913.

It is an arithmetic number, because the mean of its divisors is an integer number (369954).

Almost surely, 2^3965616 is an apocalyptic number.

3965616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3965616 is an abundant number, since it is smaller than the sum of its proper divisors (7133004).

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

3965616 is a wasteful number, since it uses less digits than its factorization.

3965616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27553 (or 27544 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 3965616 is about 1991.3854473707. The cubic root of 3965616 is about 158.2839523446.

The spelling of 3965616 in words is "three million, nine hundred sixty-five thousand, six hundred sixteen".