3338214 has 32 divisors (see below), whose sum is σ = 7485696. Its totient is φ = 983520.

The previous prime is 3338213. The next prime is 3338249. The reversal of 3338214 is 4128333.

It is a super-2 number, since 2×3338214² = 22287345419592, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3¹¹ + 3¹² + 3¹² + 8 + 2²¹ + 1 + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3338213) 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, 1759 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (233928).

Almost surely, 2^3338214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742848).

3338214 is an abundant number, since it is smaller than the sum of its proper divisors (4147482).

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

3338214 is a wasteful number, since it uses less digits than its factorization.

3338214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its digits is 1728, while the sum is 24.

The square root of 3338214 is about 1827.0779950511. The cubic root of 3338214 is about 149.4530301397.

The spelling of 3338214 in words is "three million, three hundred thirty-eight thousand, two hundred fourteen".