3214400240 has 160 divisors (see below), whose sum is σ = 8126265600. Its totient is φ = 1178634240.

The previous prime is 3214400209. The next prime is 3214400257. The reversal of 3214400240 is 420044123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6546395 + ... + 6546885.

It is an arithmetic number, because the mean of its divisors is an integer number (50789160).

Almost surely, 2^3214400240 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 3214400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063132800).

3214400240 is an abundant number, since it is smaller than the sum of its proper divisors (4911865360).

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

3214400240 is a wasteful number, since it uses less digits than its factorization.

3214400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3214400240 is about 56695.6809642498. The cubic root of 3214400240 is about 1475.8197477215.

Adding to 3214400240 its reverse (420044123), we get a palindrome (3634444363).

The spelling of 3214400240 in words is "three billion, two hundred fourteen million, four hundred thousand, two hundred forty".