3492 has 18 divisors (see below), whose sum is σ = 8918. Its totient is φ = 1152.

The previous prime is 3491. The next prime is 3499. The reversal of 3492 is 2943.

3492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 576 = 54^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3⁷ + 9³ + 4³ + 2⁹ .

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 13.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13 + ... + 84.

2³⁴⁹² is an apocalyptic number.

It is an amenable number.

3492 is an abundant number, since it is smaller than the sum of its proper divisors (5426).

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

3492 is a wasteful number, since it uses less digits than its factorization.

3492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 3492 is about 59.0931468108. The cubic root of 3492 is about 15.1713680765.

It can be divided in two parts, 349 and 2, that added together give a triangular number (351 = T₂₆).

The spelling of 3492 in words is "three thousand, four hundred ninety-two".