3762 has 24 divisors (see below), whose sum is σ = 9360. Its totient is φ = 1080.

The previous prime is 3761. The next prime is 3767. The reversal of 3762 is 2673.

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

It is an Ulam number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3762.

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 11 ways as a sum of consecutive naturals, for example, 189 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (390).

2³⁷⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680).

3762 is an abundant number, since it is smaller than the sum of its proper divisors (5598).

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

3762 is a wasteful number, since it uses less digits than its factorization.

3762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 35 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 3762 is about 61.3351449008. The cubic root of 3762 is about 15.5527167911.

Subtracting from 3762 its reverse (2673), we obtain a square (1089 = 33²).

It can be divided in two parts, 376 and 2, that added together give a triangular number (378 = T₂₇).

The spelling of 3762 in words is "three thousand, seven hundred sixty-two".