3310944 has 96 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 870912.

The previous prime is 3310933. The next prime is 3310987. The reversal of 3310944 is 4490133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3310944² = 21924700342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8547 + ... + 8925.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 2^3310944 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 3310944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

3310944 is an abundant number, since it is smaller than the sum of its proper divisors (7414176).

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

3310944 is a wasteful number, since it uses less digits than its factorization.

3310944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3310944 is about 1819.5999560343. The cubic root of 3310944 is about 149.0449543800.

It can be divided in two parts, 33109 and 44, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 3310944 in words is "three million, three hundred ten thousand, nine hundred forty-four".