3388000 has 144 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 1056000.

The previous prime is 3387997. The next prime is 3388019. The reversal of 3388000 is 8833.

It is a super-2 number, since 2×3388000² = 22957088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307995 + ... + 308005.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

Almost surely, 2^3388000 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 3388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3388000 is an abundant number, since it is smaller than the sum of its proper divisors (7068992).

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

3388000 is a wasteful number, since it uses less digits than its factorization.

3388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3388000 is about 1840.6520583750. The cubic root of 3388000 is about 150.1923458410.

It can be divided in two parts, 338 and 8000, that added together give a palindrome (8338).

The spelling of 3388000 in words is "three million, three hundred eighty-eight thousand".