3382000 has 80 divisors (see below), whose sum is σ = 8704800. Its totient is φ = 1267200.

The previous prime is 3381971. The next prime is 3382003. The reversal of 3382000 is 2833.

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 2×3382000² = 22875848000000, 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 (3382003) 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, 37956 + ... + 38044.

It is an arithmetic number, because the mean of its divisors is an integer number (108810).

Almost surely, 2^3382000 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 3382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352400).

3382000 is an abundant number, since it is smaller than the sum of its proper divisors (5322800).

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

3382000 is a wasteful number, since it uses less digits than its factorization.

3382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3382000 is about 1839.0214789393. The cubic root of 3382000 is about 150.1036320898.

Adding to 3382000 its reverse (2833), we get a palindrome (3384833).

The spelling of 3382000 in words is "three million, three hundred eighty-two thousand".