3534 has 16 divisors (see below), whose sum is σ = 7680. Its totient is φ = 1080.

The previous prime is 3533. The next prime is 3539. The reversal of 3534 is 4353.

3534 = T₉ + T₁₀ + ... + T₂₇.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3533) 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, 99 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (480).

2³⁵³⁴ is an apocalyptic number.

3534 is an abundant number, since it is smaller than the sum of its proper divisors (4146).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840).

3534 is a wasteful number, since it uses less digits than its factorization.

3534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55.

The product of its digits is 180, while the sum is 15.

The square root of 3534 is about 59.4474557908. The cubic root of 3534 is about 15.2319503373.

Adding to 3534 its reverse (4353), we get a palindrome (7887).

The spelling of 3534 in words is "three thousand, five hundred thirty-four".