3375360 has 108 divisors (see below), whose sum is σ = 11718252. Its totient is φ = 897024.

The previous prime is 3375349. The next prime is 3375389. The reversal of 3375360 is 635733.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 1016064 = 1536^2 + 1008^2 .

It is a super-2 number, since 2×3375360² = 22786110259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11374 + ... + 11666.

Almost surely, 2^3375360 is an apocalyptic number.

3375360 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 3375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859126).

3375360 is an abundant number, since it is smaller than the sum of its proper divisors (8342892).

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

3375360 is a wasteful number, since it uses less digits than its factorization.

3375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 3375360 is about 1837.2152840644. The cubic root of 3375360 is about 150.0053331437.

The spelling of 3375360 in words is "three million, three hundred seventy-five thousand, three hundred sixty".