3398272 has 32 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 1678080.

The previous prime is 3398267. The next prime is 3398309. The reversal of 3398272 is 2728933.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 3¹³ + 3¹³ + 9⁵ + 8⁵ + 2⁵ + 7⁶ + 2⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17697 + ... + 17887.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 2^3398272 is an apocalyptic number.

3398272 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 3398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

3398272 is an abundant number, since it is smaller than the sum of its proper divisors (3456128).

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

3398272 is a wasteful number, since it uses less digits than its factorization.

3398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 3398272 is about 1843.4402621186. The cubic root of 3398272 is about 150.3439809481.

The spelling of 3398272 in words is "three million, three hundred ninety-eight thousand, two hundred seventy-two".