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3732 = 223311

3732 has 12 divisors (see below), whose sum is σ = 8736. Its totient is φ = 1240.

The previous prime is 3727. The next prime is 3733. The reversal of 3732 is 2373.

Added to its reverse (2373) it gives a triangular number (6105 = T110).

3732 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 (12).

It is a plaindrome in base 15.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3732.

It is not an unprimeable number, because it can be changed into a prime (3733) 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, 144 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (728).

23732 is an apocalyptic number.

It is an amenable number.

3732 is an abundant number, since it is smaller than the sum of its proper divisors (5004).

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 (4368).

3732 is a wasteful number, since it uses less digits than its factorization.

3732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its digits is 126, while the sum is 15.

The square root of 3732 is about 61.0900973972. The cubic root of 3732 is about 15.5112647907.

Adding to 3732 its reverse (2373), we get a triangular number (6105 = T110).

The spelling of 3732 in words is "three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 311 622 933 1244 1866 3732