3956064 has 108 divisors (see below), whose sum is σ = 12511044. Its totient is φ = 1091328.

The previous prime is 3956059. The next prime is 3956081. The reversal of 3956064 is 4606593.

It is a happy number.

3956064 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 17 ways as a sum of consecutive naturals, for example, 136402 + ... + 136430.

It is an arithmetic number, because the mean of its divisors is an integer number (115843).

Almost surely, 2^3956064 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 3956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255522).

3956064 is an abundant number, since it is smaller than the sum of its proper divisors (8554980).

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

3956064 is a wasteful number, since it uses less digits than its factorization.

3956064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3956064 is about 1988.9856711399. The cubic root of 3956064 is about 158.1567637086.

The spelling of 3956064 in words is "three million, nine hundred fifty-six thousand, sixty-four".