3358944 has 72 divisors (see below), whose sum is σ = 9729720. Its totient is φ = 1099008.

The previous prime is 3358937. The next prime is 3358963. The reversal of 3358944 is 4498533.

3358944 is a `hidden beast` number, since 33 + 589 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3358944² = 22565009590272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3358899 and 3358908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30762 + ... + 30870.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

Almost surely, 2^3358944 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 3358944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864860).

3358944 is an abundant number, since it is smaller than the sum of its proper divisors (6370776).

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

3358944 is a wasteful number, since it uses less digits than its factorization.

3358944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3358944 is about 1832.7422077314. The cubic root of 3358944 is about 149.7617551296.

It can be divided in two parts, 33589 and 44, that added together give a palindrome (33633).

The spelling of 3358944 in words is "three million, three hundred fifty-eight thousand, nine hundred forty-four".