3888192 has 112 divisors (see below), whose sum is σ = 12874752. Its totient is φ = 1006080.

The previous prime is 3888163. The next prime is 3888193. The reversal of 3888192 is 2918883.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 3888192.

It is not an unprimeable number, because it can be changed into a prime (3888193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14653 + ... + 14915.

Almost surely, 2^3888192 is an apocalyptic number.

3888192 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 3888192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437376).

3888192 is an abundant number, since it is smaller than the sum of its proper divisors (8986560).

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

3888192 is a wasteful number, since it uses less digits than its factorization.

3888192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 3888192 is about 1971.8498928671. The cubic root of 3888192 is about 157.2470719965.

It can be divided in two parts, 3888 and 192, that multiplied together give a square (746496 = 864²).

The spelling of 3888192 in words is "three million, eight hundred eighty-eight thousand, one hundred ninety-two".