3961568 has 48 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1790976.

The previous prime is 3961541. The next prime is 3961579. The reversal of 3961568 is 8651693.

3961568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 36971 + ... + 37077.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 2^3961568 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 3961568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286520).

3961568 is an abundant number, since it is smaller than the sum of its proper divisors (4611472).

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

3961568 is a wasteful number, since it uses less digits than its factorization.

3961568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 3961568 is about 1990.3688100450. The cubic root of 3961568 is about 158.2300765972.

The spelling of 3961568 in words is "three million, nine hundred sixty-one thousand, five hundred sixty-eight".