3398112 has 144 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1026432.

The previous prime is 3398111. The next prime is 3398123. The reversal of 3398112 is 2118933.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3398111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147733 + ... + 147755.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

Almost surely, 2^3398112 is an apocalyptic number.

3398112 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 3398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3398112 is an abundant number, since it is smaller than the sum of its proper divisors (7609248).

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

3398112 is a wasteful number, since it uses less digits than its factorization.

3398112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 3398112 is about 1843.3968644869. The cubic root of 3398112 is about 150.3416213749.

The spelling of 3398112 in words is "three million, three hundred ninety-eight thousand, one hundred twelve".