3733728 has 96 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1115136.

The previous prime is 3733703. The next prime is 3733729. The reversal of 3733728 is 8273373.

It is a happy number.

3733728 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 (96).

It is a super-3 number, since 3×3733728³ (a number of 21 digits) contains 333 as substring.

Its product of digits (21168) is a multiple of the sum of its prime factors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3733729) 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, 41908 + ... + 41996.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^3733728 is an apocalyptic number.

3733728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3733728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3733728 is an abundant number, since it is smaller than the sum of its proper divisors (7152672).

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

3733728 is a wasteful number, since it uses less digits than its factorization.

3733728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 3733728 is about 1932.2856931624. The cubic root of 3733728 is about 155.1365844292.

The spelling of 3733728 in words is "three million, seven hundred thirty-three thousand, seven hundred twenty-eight".