3213413440 has 112 divisors (see below), whose sum is σ = 8381847600. Its totient is φ = 1167982592.

The previous prime is 3213413419. The next prime is 3213413471. The reversal of 3213413440 is 443143123.

It can be written as a sum of positive squares in 8 ways, for example, as 123832384 + 3089581056 = 11128^2 + 55584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147576 + ... + 167944.

It is an arithmetic number, because the mean of its divisors is an integer number (74837925).

Almost surely, 2^3213413440 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 3213413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190923800).

3213413440 is an abundant number, since it is smaller than the sum of its proper divisors (5168434160).

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

3213413440 is a wasteful number, since it uses less digits than its factorization.

3213413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20432 (or 20422 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3213413440 is about 56686.9776932939. The cubic root of 3213413440 is about 1475.6687099049.

Adding to 3213413440 its reverse (443143123), we get a palindrome (3656556563).

The spelling of 3213413440 in words is "three billion, two hundred thirteen million, four hundred thirteen thousand, four hundred forty".