3728993 has 4 divisors (see below), whose sum is σ = 3744708. Its totient is φ = 3713280.

The previous prime is 3728987. The next prime is 3729007. The reversal of 3728993 is 3998273.

3728993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2211169 + 1517824 = 1487^2 + 1232^2 .

It is a cyclic number.

It is not a de Polignac number, because 3728993 - 2¹⁸ = 3466849 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 7⁴ + 2²¹ + 8⁵ + 9² + 9² + 3¹³ .

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3728993.

It is not an unprimeable number, because it can be changed into a prime (3728983) 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 3 ways as a sum of consecutive naturals, for example, 7496 + ... + 7977.

It is an arithmetic number, because the mean of its divisors is an integer number (936177).

Almost surely, 2^3728993 is an apocalyptic number.

It is an amenable number.

3728993 is a deficient number, since it is larger than the sum of its proper divisors (15715).

3728993 is a wasteful number, since it uses less digits than its factorization.

3728993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15714.

The product of its digits is 81648, while the sum is 41.

The square root of 3728993 is about 1931.0600715669. The cubic root of 3728993 is about 155.0709768589.

The spelling of 3728993 in words is "three million, seven hundred twenty-eight thousand, nine hundred ninety-three".