3712 has 16 divisors (see below), whose sum is σ = 7650. Its totient is φ = 1792.

The previous prime is 3709. The next prime is 3719. The reversal of 3712 is 2173.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 576 = 56^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3692 and 3701.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3712.

It is not an unprimeable number, because it can be changed into a prime (3719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114 + ... + 142.

2^{3712} is an apocalyptic number.

3712 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 3712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825).

3712 is an abundant number, since it is smaller than the sum of its proper divisors (3938).

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

3712 is an equidigital number, since it uses as much as digits as its factorization.

3712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 31 counting only the distinct ones).

The product of its digits is 42, while the sum is 13.

The square root of 3712 is about 60.9261848469. The cubic root of 3712 is about 15.4835065625.

Adding to 3712 its reverse (2173), we get a palindrome (5885).

It can be divided in two parts, 371 and 2, that added together give a palindrome (373).

The spelling of 3712 in words is "three thousand, seven hundred twelve", and thus it is an iban number.

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