3733668 has 48 divisors (see below), whose sum is σ = 9784320. Its totient is φ = 1231200.

The previous prime is 3733649. The next prime is 3733669. The reversal of 3733668 is 8663373.

3733668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3733669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19453 + ... + 19643.

It is an arithmetic number, because the mean of its divisors is an integer number (203840).

Almost surely, 2^3733668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3733668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892160).

3733668 is an abundant number, since it is smaller than the sum of its proper divisors (6050652).

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

3733668 is a wasteful number, since it uses less digits than its factorization.

3733668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3733668 is about 1932.2701674455. The cubic root of 3733668 is about 155.1357534238.

The spelling of 3733668 in words is "three million, seven hundred thirty-three thousand, six hundred sixty-eight".