3214000 has 40 divisors (see below), whose sum is σ = 7776288. Its totient is φ = 1284800.

The previous prime is 3213979. The next prime is 3214007. The reversal of 3214000 is 4123.

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

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 (3214007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 2803.

Almost surely, 2^3214000 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 3214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888144).

3214000 is an abundant number, since it is smaller than the sum of its proper divisors (4562288).

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

3214000 is a wasteful number, since it uses less digits than its factorization.

3214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1614 counting only the distinct ones).

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

The square root of 3214000 is about 1792.7632303235. The cubic root of 3214000 is about 147.5758491440.

Adding to 3214000 its reverse (4123), we get a palindrome (3218123).

The spelling of 3214000 in words is "three million, two hundred fourteen thousand".