3338000 has 40 divisors (see below), whose sum is σ = 8076120. Its totient is φ = 1334400.

The previous prime is 3337991. The next prime is 3338003. The reversal of 3338000 is 8333.

It is a happy number.

3338000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 3211264 = 356^2 + 1792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3338000² = 22284488000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3338000.

It is not an unprimeable number, because it can be changed into a prime (3338003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1166 + ... + 2834.

It is an arithmetic number, because the mean of its divisors is an integer number (201903).

Almost surely, 2^3338000 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 3338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038060).

3338000 is an abundant number, since it is smaller than the sum of its proper divisors (4738120).

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

3338000 is a wasteful number, since it uses less digits than its factorization.

3338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3338000 is about 1827.0194306575. The cubic root of 3338000 is about 149.4498364527.

The spelling of 3338000 in words is "three million, three hundred thirty-eight thousand".