3338944 has 56 divisors (see below), whose sum is σ = 7863840. Its totient is φ = 1376256.

The previous prime is 3338939. The next prime is 3338963. The reversal of 3338944 is 4498333.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3338944² = 22297094070272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12864 + ... + 13120.

Almost surely, 2^3338944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931920).

3338944 is an abundant number, since it is smaller than the sum of its proper divisors (4524896).

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

3338944 is a wasteful number, since it uses less digits than its factorization.

3338944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 3338944 is about 1827.2777566643. The cubic root of 3338944 is about 149.4639234657.

It can be divided in two parts, 33389 and 44, that added together give a palindrome (33433).

The spelling of 3338944 in words is "three million, three hundred thirty-eight thousand, nine hundred forty-four".