3365120 has 72 divisors (see below), whose sum is σ = 8830080. Its totient is φ = 1218560.

The previous prime is 3365111. The next prime is 3365161. The reversal of 3365120 is 215633.

It is a super-2 number, since 2×3365120² = 22648065228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3365092 and 3365101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13961 + ... + 14199.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 2^3365120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040).

3365120 is an abundant number, since it is smaller than the sum of its proper divisors (5464960).

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

3365120 is a wasteful number, since it uses less digits than its factorization.

3365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 3365120 is about 1834.4263408488. The cubic root of 3365120 is about 149.8534865683.

The spelling of 3365120 in words is "three million, three hundred sixty-five thousand, one hundred twenty".