3847392 has 96 divisors (see below), whose sum is σ = 11561760. Its totient is φ = 1244160.

The previous prime is 3847357. The next prime is 3847397. The reversal of 3847392 is 2937483.

3847392 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 Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3847397) 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, 52668 + ... + 52740.

It is an arithmetic number, because the mean of its divisors is an integer number (120435).

Almost surely, 2^3847392 is an apocalyptic number.

3847392 is a gapful number since it is divisible by the number (32) 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 3847392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780880).

3847392 is an abundant number, since it is smaller than the sum of its proper divisors (7714368).

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

3847392 is a wasteful number, since it uses less digits than its factorization.

3847392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

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

The square root of 3847392 is about 1961.4769945120. The cubic root of 3847392 is about 156.6951228427.

Subtracting from 3847392 its reverse (2937483), we obtain a palindrome (909909).

It can be divided in two parts, 384 and 7392, that added together give a 5-th power (7776 = 6⁵).

The spelling of 3847392 in words is "three million, eight hundred forty-seven thousand, three hundred ninety-two".