3918564 has 48 divisors (see below), whose sum is σ = 10944640. Its totient is φ = 1205280.

The previous prime is 3918557. The next prime is 3918569. The reversal of 3918564 is 4658193.

3918564 is a `hidden beast` number, since 3 + 91 + 8 + 564 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3918569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 2799.

Almost surely, 2^3918564 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 3918564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472320).

3918564 is an abundant number, since it is smaller than the sum of its proper divisors (7026076).

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

3918564 is a wasteful number, since it uses less digits than its factorization.

3918564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3918564 is about 1979.5363093412. The cubic root of 3918564 is about 157.6554474349.

Adding to 3918564 its sum of digits (36), we get a triangular number (3918600 = T₂₇₉₉).

The spelling of 3918564 in words is "three million, nine hundred eighteen thousand, five hundred sixty-four".