Cookie Consent by
Search a number
3760 = 24547

3760 has 20 divisors (see below), whose sum is σ = 8928. Its totient is φ = 1472.

The previous prime is 3739. The next prime is 3761. The reversal of 3760 is 673.

It is a happy number.

3760 is nontrivially palindromic in base 3.

3760 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 (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

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

3760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57 + ... + 103.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464).

3760 is an abundant number, since it is smaller than the sum of its proper divisors (5168).

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

3760 is a wasteful number, since it uses less digits than its factorization.

3760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 3760 is about 61.3188388670. The cubic root of 3760 is about 15.5499601947.

The spelling of 3760 in words is "three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760