3346000 has 80 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 1142400.

The previous prime is 3345989. The next prime is 3346003. The reversal of 3346000 is 6433.

It is a happy number.

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

It is a super-2 number, since 2×3346000² = 22391432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13881 + ... + 14119.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^3346000 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 3346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

3346000 is an abundant number, since it is smaller than the sum of its proper divisors (5939120).

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

3346000 is a wasteful number, since it uses less digits than its factorization.

3346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3346000 is about 1829.2074786639. The cubic root of 3346000 is about 149.5691339182.

The spelling of 3346000 in words is "three million, three hundred forty-six thousand".