3468192 has 96 divisors (see below), whose sum is σ = 11233152. Its totient is φ = 912384.

The previous prime is 3468169. The next prime is 3468209. The reversal of 3468192 is 2918643.

3468192 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 congruent number.

It is an unprimeable number.

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, 8538 + ... + 8934.

It is an arithmetic number, because the mean of its divisors is an integer number (117012).

Almost surely, 2^3468192 is an apocalyptic number.

3468192 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 3468192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616576).

3468192 is an abundant number, since it is smaller than the sum of its proper divisors (7764960).

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

3468192 is a wasteful number, since it uses less digits than its factorization.

3468192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3468192 is about 1862.3082451624. The cubic root of 3468192 is about 151.3681061889.

It can be divided in two parts, 3468 and 192, that multiplied together give a square (665856 = 816²).

The spelling of 3468192 in words is "three million, four hundred sixty-eight thousand, one hundred ninety-two".