3384360 has 192 divisors, whose sum is σ = 13478400. Its totient is φ = 718848.

The previous prime is 3384331. The next prime is 3384361. The reversal of 3384360 is 634833.

3384360 = T₁₅₃ + T₁₅₄ + ... + T₂₈₇.

It is a super-2 number, since 2×3384360² = 22907785219200, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3384361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42801 + ... + 42879.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

Almost surely, 2^3384360 is an apocalyptic number.

3384360 is a gapful number since it is divisible by the number (30) 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 3384360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3384360 is an abundant number, since it is smaller than the sum of its proper divisors (10094040).

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

3384360 is a wasteful number, since it uses less digits than its factorization.

3384360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3384360 is about 1839.6630126194. The cubic root of 3384360 is about 150.1385386742.

The spelling of 3384360 in words is "three million, three hundred eighty-four thousand, three hundred sixty".