3388120 has 32 divisors (see below), whose sum is σ = 7737120. Its totient is φ = 1335040.

The previous prime is 3388109. The next prime is 3388169. The reversal of 3388120 is 218833.

It is a super-2 number, since 2×3388120² = 22958714268800, which contains 22 as substring.

It is a congruent number.

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, 2244 + ... + 3436.

It is an arithmetic number, because the mean of its divisors is an integer number (241785).

Almost surely, 2^3388120 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 3388120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868560).

3388120 is an abundant number, since it is smaller than the sum of its proper divisors (4349000).

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

3388120 is a wasteful number, since it uses less digits than its factorization.

3388120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3388120 is about 1840.6846552302. The cubic root of 3388120 is about 150.1941190473.

The spelling of 3388120 in words is "three million, three hundred eighty-eight thousand, one hundred twenty".