3840192 has 84 divisors (see below), whose sum is σ = 11292840. Its totient is φ = 1247232.

The previous prime is 3840191. The next prime is 3840203. The reversal of 3840192 is 2910483.

It is not an unprimeable number, because it can be changed into a prime (3840191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33928 + ... + 34040.

Almost surely, 2^3840192 is an apocalyptic number.

3840192 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 3840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646420).

3840192 is an abundant number, since it is smaller than the sum of its proper divisors (7452648).

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

3840192 is a wasteful number, since it uses less digits than its factorization.

3840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3840192 is about 1959.6407834090. The cubic root of 3840192 is about 156.5973155150.

The spelling of 3840192 in words is "three million, eight hundred forty thousand, one hundred ninety-two".