3783552 has 64 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 1232384.

The previous prime is 3783551. The next prime is 3783589. The reversal of 3783552 is 2553873.

3783552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783551) 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 7 ways as a sum of consecutive naturals, for example, 22573 + ... + 22739.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^3783552 is an apocalyptic number.

3783552 is a gapful number since it is divisible by the number (32) 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 3783552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3783552 is an abundant number, since it is smaller than the sum of its proper divisors (6498048).

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

3783552 is a wasteful number, since it uses less digits than its factorization.

3783552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 3783552 is about 1945.1354708606. The cubic root of 3783552 is about 155.8236007407.

The spelling of 3783552 in words is "three million, seven hundred eighty-three thousand, five hundred fifty-two".