3342000 has 80 divisors (see below), whose sum is σ = 10793952. Its totient is φ = 889600.

The previous prime is 3341993. The next prime is 3342023. The reversal of 3342000 is 2433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3342000² = 22337928000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5722 + ... + 6278.

Almost surely, 2^3342000 is an apocalyptic number.

3342000 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 3342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396976).

3342000 is an abundant number, since it is smaller than the sum of its proper divisors (7451952).

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

3342000 is a wasteful number, since it uses less digits than its factorization.

3342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3342000 is about 1828.1137820169. The cubic root of 3342000 is about 149.5095089831.

Adding to 3342000 its reverse (2433), we get a palindrome (3344433).

The spelling of 3342000 in words is "three million, three hundred forty-two thousand".