3552 has 24 divisors (see below), whose sum is σ = 9576. Its totient is φ = 1152.

The previous prime is 3547. The next prime is 3557. The reversal of 3552 is 2553.

Added to its reverse (2553) it gives a triangular number (6105 = T₁₁₀).

3552 is digitally balanced in base 2, because in such base 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 (3547) and next prime (3557).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (150) is a multiple of the sum of its prime factors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3557) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 114.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

2³⁵⁵² is an apocalyptic number.

3552 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 3552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788).

3552 is an abundant number, since it is smaller than the sum of its proper divisors (6024).

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

3552 is a wasteful number, since it uses less digits than its factorization.

3552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 42 counting only the distinct ones).

The product of its digits is 150, while the sum is 15.

The square root of 3552 is about 59.5986577030. The cubic root of 3552 is about 15.2577672517.

Adding to 3552 its reverse (2553), we get a triangular number (6105 = T₁₁₀).

Subtracting from 3552 its reverse (2553), we obtain a palindrome (999).

It can be divided in two parts, 3 and 552, that added together give a palindrome (555).

The spelling of 3552 in words is "three thousand, five hundred fifty-two".