3542 has 16 divisors (see below), whose sum is σ = 6912. Its totient is φ = 1320.

The previous prime is 3541. The next prime is 3547. The reversal of 3542 is 2453.

Added to its reverse (2453) it gives a triangular number (5995 = T₁₀₉).

It is a super-3 number, since 3×3542³ = 133311288264, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

2³⁵⁴² is an apocalyptic number.

3542 is a deficient number, since it is larger than the sum of its proper divisors (3370).

3542 is a wasteful number, since it uses less digits than its factorization.

3542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43.

The product of its digits is 120, while the sum is 14.

The square root of 3542 is about 59.5147040655. The cubic root of 3542 is about 15.2434353184.

3542 divided by its sum of digits (14) gives a triangular number (253 = T₂₂).

Adding to 3542 its reverse (2453), we get a palindrome (5995).

Subtracting from 3542 its reverse (2453), we obtain a square (1089 = 33²).

It can be divided in two parts, 35 and 42, that added together give a palindrome (77).

The spelling of 3542 in words is "three thousand, five hundred forty-two".