3213454240 has 96 divisors (see below), whose sum is σ = 8086009680. Its totient is φ = 1202601984.

The previous prime is 3213454193. The next prime is 3213454259. The reversal of 3213454240 is 424543123.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2612027664 + 601426576 = 51108^2 + 24524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3213454199 and 3213454208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467146 + ... + 473974.

Almost surely, 2^3213454240 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 3213454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043004840).

3213454240 is an abundant number, since it is smaller than the sum of its proper divisors (4872555440).

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

3213454240 is a wasteful number, since it uses less digits than its factorization.

3213454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3213454240 is about 56687.3375631631. The cubic root of 3213454240 is about 1475.6749552916.

Adding to 3213454240 its reverse (424543123), we get a palindrome (3637997363).

The spelling of 3213454240 in words is "three billion, two hundred thirteen million, four hundred fifty-four thousand, two hundred forty".