3764 has 6 divisors (see below), whose sum is σ = 6594. Its totient is φ = 1880.

The previous prime is 3761. The next prime is 3767. The reversal of 3764 is 4673.

It is an interprime number because it is at equal distance from previous prime (3761) and next prime (3767).

It can be written as a sum of positive squares in only one way, i.e., 3364 + 400 = 58^2 + 20^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 3 + 6⁴ + 7⁴ + 4³ .

It is a plaindrome in base 15.

It is a nialpdrome in 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 3764.

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 as a sum of consecutive naturals, namely, 467 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (1099).

It is an amenable number.

3764 is a deficient number, since it is larger than the sum of its proper divisors (2830).

3764 is a wasteful number, since it uses less digits than its factorization.

3764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 3764 is about 61.3514466007. The cubic root of 3764 is about 15.5554724107. Note that the first 3 decimals are identical.

Subtracting 3764 from its reverse (4673), we obtain a palindrome (909).

It can be divided in two parts, 37 and 64, that added together give a palindrome (101).

The spelling of 3764 in words is "three thousand, seven hundred sixty-four".