3729384 has 24 divisors (see below), whose sum is σ = 10100610. Its totient is φ = 1243104.

The previous prime is 3729379. The next prime is 3729389. The reversal of 3729384 is 4839273.

3729384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3729379) and next prime (3729389).

It can be written as a sum of positive squares in only one way, i.e., 3526884 + 202500 = 1878^2 + 450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a d-powerful number, because it can be written as 3¹³ + 7² + 2¹⁹ + 9 + 3¹³ + 8 + 4⁷ .

It is not an unprimeable number, because it can be changed into a prime (3729389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25827 + ... + 25970.

Almost surely, 2^3729384 is an apocalyptic number.

It is an amenable number.

3729384 is an abundant number, since it is smaller than the sum of its proper divisors (6371226).

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

3729384 is a wasteful number, since it uses less digits than its factorization.

3729384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51809 (or 51802 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3729384 is about 1931.1613086431. The cubic root of 3729384 is about 155.0763966092.

The spelling of 3729384 in words is "three million, seven hundred twenty-nine thousand, three hundred eighty-four".