3945564 has 96 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 1057536.

The previous prime is 3945527. The next prime is 3945607. The reversal of 3945564 is 4655493.

It is a happy number.

3945564 is a `hidden beast` number, since 3 + 94 + 5 + 564 = 666.

3945564 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 12699 + ... + 13005.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

Almost surely, 2^3945564 is an apocalyptic number.

3945564 is a gapful number since it is divisible by the number (34) 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 3945564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209280).

3945564 is an abundant number, since it is smaller than the sum of its proper divisors (8472996).

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

3945564 is a wasteful number, since it uses less digits than its factorization.

3945564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3945564 is about 1986.3443810176. The cubic root of 3945564 is about 158.0167156379.

The spelling of 3945564 in words is "three million, nine hundred forty-five thousand, five hundred sixty-four".