3214440240 has 320 divisors, whose sum is σ = 11692823040. Its totient is φ = 721797120.

The previous prime is 3214440227. The next prime is 3214440263. The reversal of 3214440240 is 420444123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3214440240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3006426 + ... + 3007494.

It is an arithmetic number, because the mean of its divisors is an integer number (36540072).

Almost surely, 2^3214440240 is an apocalyptic number.

3214440240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846411520).

3214440240 is an abundant number, since it is smaller than the sum of its proper divisors (8478382800).

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

3214440240 is a wasteful number, since it uses less digits than its factorization.

3214440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3214440240 is about 56696.0337237095. The cubic root of 3214440240 is about 1475.8258693969.

Adding to 3214440240 its reverse (420444123), we get a palindrome (3634884363).

The spelling of 3214440240 in words is "three billion, two hundred fourteen million, four hundred forty thousand, two hundred forty".