3214222440 has 256 divisors, whose sum is σ = 11476684800. Its totient is φ = 709862400.

The previous prime is 3214222433. The next prime is 3214222441. The reversal of 3214222440 is 442224123.

3214222440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3214222440.

It is not an unprimeable number, because it can be changed into a prime (3214222441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354455 + ... + 1356825.

It is an arithmetic number, because the mean of its divisors is an integer number (44830800).

Almost surely, 2^3214222440 is an apocalyptic number.

3214222440 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 3214222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738342400).

3214222440 is an abundant number, since it is smaller than the sum of its proper divisors (8262462360).

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

3214222440 is a wasteful number, since it uses less digits than its factorization.

3214222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2484 counting only the distinct ones).

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

The square root of 3214222440 is about 56694.1129218899. The cubic root of 3214222440 is about 1475.7925362595.

Adding to 3214222440 its reverse (442224123), we get a palindrome (3656446563).

The spelling of 3214222440 in words is "three billion, two hundred fourteen million, two hundred twenty-two thousand, four hundred forty".