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BaseRepresentation
bin111010111000
312011120
4322320
5110033
625240
713662
oct7270
95146
103768
112916
122220
13193b
141532
1511b3
hexeb8

3768 has 16 divisors (see below), whose sum is σ = 9480. Its totient is φ = 1248.

The previous prime is 3767. The next prime is 3769. The reversal of 3768 is 8673.

It can be divided in two parts, 37 and 68, that added together give a triangular number (105 = T14).

It is an interprime number because it is at equal distance from previous prime (3767) and next prime (3769).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 157 = 3768 / (3 + 7 + 6 + 8).

It is a nialpdrome in base 12 and base 16.

It is a zygodrome in base 5.

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 3768.

It is not an unprimeable number, because it can be changed into a prime (3761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55 + ... + 102.

23768 is an apocalyptic number.

It is an amenable number.

3768 is an abundant number, since it is smaller than the sum of its proper divisors (5712).

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 (4740).

3768 is a wasteful number, since it uses less digits than its factorization.

3768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 3768 is about 61.3840370129. The cubic root of 3768 is about 15.5609807230.

The spelling of 3768 in words is "three thousand, seven hundred sixty-eight".