3753564 has 48 divisors (see below), whose sum is σ = 9367680. Its totient is φ = 1166400.

The previous prime is 3753559. The next prime is 3753569. The reversal of 3753564 is 4653573.

3753564 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3753559) and next prime (3753569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22947 + ... + 23109.

It is an arithmetic number, because the mean of its divisors is an integer number (195160).

Almost surely, 2^3753564 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 3753564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683840).

3753564 is an abundant number, since it is smaller than the sum of its proper divisors (5614116).

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

3753564 is a wasteful number, since it uses less digits than its factorization.

3753564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its digits is 37800, while the sum is 33.

The square root of 3753564 is about 1937.4116754061. The cubic root of 3753564 is about 155.4108282764.

Subtracting 3753564 from its reverse (4653573), we obtain a palindrome (900009).

The spelling of 3753564 in words is "three million, seven hundred fifty-three thousand, five hundred sixty-four".