3314000 has 40 divisors (see below), whose sum is σ = 8018088. Its totient is φ = 1324800.

The previous prime is 3313987. The next prime is 3314009. The reversal of 3314000 is 4133.

It can be written as a sum of positive squares in 4 ways, for example, as 300304 + 3013696 = 548^2 + 1736^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314009) 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, 1172 + ... + 2828.

Almost surely, 2^3314000 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 3314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009044).

3314000 is an abundant number, since it is smaller than the sum of its proper divisors (4704088).

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

3314000 is a wasteful number, since it uses less digits than its factorization.

3314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3314000 is about 1820.4395073718. The cubic root of 3314000 is about 149.0907964234.

Adding to 3314000 its reverse (4133), we get a palindrome (3318133).

The spelling of 3314000 in words is "three million, three hundred fourteen thousand".