3364368 has 160 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 829440.

The previous prime is 3364343. The next prime is 3364369. The reversal of 3364368 is 8634633.

It is a super-2 number, since 2×3364368² = 22637944078848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3364369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108513 + ... + 108543.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

Almost surely, 2^3364368 is an apocalyptic number.

3364368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

3364368 is an abundant number, since it is smaller than the sum of its proper divisors (8063472).

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

3364368 is a wasteful number, since it uses less digits than its factorization.

3364368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3364368 is about 1834.2213606869. The cubic root of 3364368 is about 149.8423232005.

The spelling of 3364368 in words is "three million, three hundred sixty-four thousand, three hundred sixty-eight".