3384192 has 64 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 966144.

The previous prime is 3384191. The next prime is 3384203. The reversal of 3384192 is 2914833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3384192² = 22905510985728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2059 + ... + 3317.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^3384192 is an apocalyptic number.

3384192 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 3384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3384192 is an abundant number, since it is smaller than the sum of its proper divisors (6897408).

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

3384192 is a wasteful number, since it uses less digits than its factorization.

3384192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1271 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3384192 is about 1839.6173515163. The cubic root of 3384192 is about 150.1360543353.

It can be divided in two parts, 33841 and 92, that added together give a palindrome (33933).

The spelling of 3384192 in words is "three million, three hundred eighty-four thousand, one hundred ninety-two".