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3738 = 23789

3738 has 16 divisors (see below), whose sum is σ = 8640. Its totient is φ = 1056.

The previous prime is 3733. The next prime is 3739. The reversal of 3738 is 8373.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3738.

It is not an unprimeable number, because it can be changed into a prime (3733) by changing a digit.

3738 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 3 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

23738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320).

3738 is an abundant number, since it is smaller than the sum of its proper divisors (4902).

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

3738 is a wasteful number, since it uses less digits than its factorization.

3738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101.

The product of its digits is 504, while the sum is 21.

The square root of 3738 is about 61.1391854705. The cubic root of 3738 is about 15.5195729149.

It can be divided in two parts, 3 and 738, that added together give a triangular number (741 = T38).

The spelling of 3738 in words is "three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 534 623 1246 1869 3738