3361344 has 112 divisors (see below), whose sum is σ = 10582656. Its totient is φ = 921600.

The previous prime is 3361333. The next prime is 3361357. The reversal of 3361344 is 4431633.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3361344² = 22597266972672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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, 55074 + ... + 55134.

It is an arithmetic number, because the mean of its divisors is an integer number (94488).

Almost surely, 2^3361344 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 3361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328).

3361344 is an abundant number, since it is smaller than the sum of its proper divisors (7221312).

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

3361344 is a wasteful number, since it uses less digits than its factorization.

3361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 3361344 is about 1833.3968473847. The cubic root of 3361344 is about 149.7974154086.

Adding to 3361344 its reverse (4431633), we get a palindrome (7792977).

It can be divided in two parts, 336 and 1344, that multiplied together give a square (451584 = 672²).

The spelling of 3361344 in words is "three million, three hundred sixty-one thousand, three hundred forty-four".