3783564 has 48 divisors (see below), whose sum is σ = 10009440. Its totient is φ = 1235520.

The previous prime is 3783551. The next prime is 3783589. The reversal of 3783564 is 4653873.

It is a happy number.

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

It is a d-powerful number, because it can be written as 3⁷ + 7⁴ + 8⁷ + 3⁷ + 5 + 6⁸ + 4² .

It is an unprimeable number.

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, 5394 + ... + 6054.

It is an arithmetic number, because the mean of its divisors is an integer number (208530).

Almost surely, 2^3783564 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 3783564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004720).

3783564 is an abundant number, since it is smaller than the sum of its proper divisors (6225876).

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

3783564 is a wasteful number, since it uses less digits than its factorization.

3783564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3783564 is about 1945.1385554762. The cubic root of 3783564 is about 155.8237654784.

The spelling of 3783564 in words is "three million, seven hundred eighty-three thousand, five hundred sixty-four".