3345360 has 80 divisors (see below), whose sum is σ = 10606464. Its totient is φ = 871936.

The previous prime is 3345323. The next prime is 3345361. The reversal of 3345360 is 635433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3345360² = 22382867059200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3345360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12589 + ... + 12851.

Almost surely, 2^3345360 is an apocalyptic number.

3345360 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 3345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232).

3345360 is an abundant number, since it is smaller than the sum of its proper divisors (7261104).

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

3345360 is a wasteful number, since it uses less digits than its factorization.

3345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3345360 is about 1829.0325311486. The cubic root of 3345360 is about 149.5595971231.

It can be divided in two parts, 3 and 345360, that multiplied together give a triangular number (1036080 = T₁₄₃₉).

The spelling of 3345360 in words is "three million, three hundred forty-five thousand, three hundred sixty".