3381360 has 80 divisors (see below), whose sum is σ = 10680864. Its totient is φ = 884736.

The previous prime is 3381359. The next prime is 3381361. The reversal of 3381360 is 631833.

It is an interprime number because it is at equal distance from previous prime (3381359) and next prime (3381361).

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

It is a super-2 number, since 2×3381360² = 22867190899200, which contains 22 as substring.

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

It is an Ulam number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3381360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381361) 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, 17424 + ... + 17616.

Almost surely, 2^3381360 is an apocalyptic number.

3381360 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 3381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340432).

3381360 is an abundant number, since it is smaller than the sum of its proper divisors (7299504).

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

3381360 is a wasteful number, since it uses less digits than its factorization.

3381360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3381360 is about 1838.8474651259. The cubic root of 3381360 is about 150.0941630986.

It can be divided in two parts, 3381 and 360, that added together give a triangular number (3741 = T₈₆).

The spelling of 3381360 in words is "three million, three hundred eighty-one thousand, three hundred sixty".