3362944 has 64 divisors (see below), whose sum is σ = 7539840. Its totient is φ = 1483776.

The previous prime is 3362929. The next prime is 3362959. The reversal of 3362944 is 4492633.

3362944 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (3362929) and next prime (3362959).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3362944² = 22618784694272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71529 + ... + 71575.

It is an arithmetic number, because the mean of its divisors is an integer number (117810).

Almost surely, 2^3362944 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 3362944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769920).

3362944 is an abundant number, since it is smaller than the sum of its proper divisors (4176896).

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

3362944 is a wasteful number, since it uses less digits than its factorization.

3362944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The square root of 3362944 is about 1833.8331439910. The cubic root of 3362944 is about 149.8211794988.

The spelling of 3362944 in words is "three million, three hundred sixty-two thousand, nine hundred forty-four".