3412000 has 48 divisors (see below), whose sum is σ = 8393112. Its totient is φ = 1363200.

The previous prime is 3411997. The next prime is 3412009. The reversal of 3412000 is 2143.

It can be written as a sum of positive squares in 4 ways, for example, as 300304 + 3111696 = 548^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3412009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3574 + ... + 4426.

Almost surely, 2^3412000 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 3412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196556).

3412000 is an abundant number, since it is smaller than the sum of its proper divisors (4981112).

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

3412000 is an equidigital number, since it uses as much as digits as its factorization.

3412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3412000 is about 1847.1599822430. The cubic root of 3412000 is about 150.5461571504.

Adding to 3412000 its reverse (2143), we get a palindrome (3414143).

The spelling of 3412000 in words is "three million, four hundred twelve thousand".