3967056 has 50 divisors (see below), whose sum is σ = 11485562. Its totient is φ = 1321920.

The previous prime is 3967049. The next prime is 3967057. The reversal of 3967056 is 6507693.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 46656 = 1980^2 + 216^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3967056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967057) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 235 + ... + 2826.

Almost surely, 2^3967056 is an apocalyptic number.

3967056 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 3967056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742781).

3967056 is an abundant number, since it is smaller than the sum of its proper divisors (7518506).

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

3967056 is a wasteful number, since it uses less digits than its factorization.

3967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3967056 is about 1991.7469718817. The cubic root of 3967056 is about 158.3031087891.

The spelling of 3967056 in words is "three million, nine hundred sixty-seven thousand, fifty-six".