3214000240 has 80 divisors (see below), whose sum is σ = 8224268256. Its totient is φ = 1158348800.

The previous prime is 3214000219. The next prime is 3214000247. The reversal of 3214000240 is 420004123.

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

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 (3214000247) 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, 83280 + ... + 115600.

Almost surely, 2^3214000240 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 3214000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112134128).

3214000240 is an abundant number, since it is smaller than the sum of its proper divisors (5010268016).

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

3214000240 is a wasteful number, since it uses less digits than its factorization.

3214000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32458 (or 32452 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3214000240 is about 56692.1532489286. The cubic root of 3214000240 is about 1475.7585281737.

Adding to 3214000240 its reverse (420004123), we get a palindrome (3634004363).

The spelling of 3214000240 in words is "three billion, two hundred fourteen million, two hundred forty", and thus it is an aban number.