3961116 has 24 divisors (see below), whose sum is σ = 10269840. Its totient is φ = 1320336.

The previous prime is 3961057. The next prime is 3961121. The reversal of 3961116 is 6111693.

3961116 is a `hidden beast` number, since 39 + 611 + 16 = 666.

3961116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is a self number, because there is not a number n which added to its sum of digits gives 3961116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18231 + ... + 18446.

It is an arithmetic number, because the mean of its divisors is an integer number (427910).

Almost surely, 2^3961116 is an apocalyptic number.

3961116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3961116 is an abundant number, since it is smaller than the sum of its proper divisors (6308724).

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

3961116 is a wasteful number, since it uses less digits than its factorization.

3961116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36690 (or 36682 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 3961116 is about 1990.2552600106. The cubic root of 3961116 is about 158.2240585496.

The spelling of 3961116 in words is "three million, nine hundred sixty-one thousand, one hundred sixteen".