3214436416 has 63 divisors (see below), whose sum is σ = 6750131661. Its totient is φ = 1518545664.

The previous prime is 3214436389. The next prime is 3214436431. The reversal of 3214436416 is 6146344123.

The square root of 3214436416 is 56696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1747240000 + 1467196416 = 41800^2 + 38304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8617606 + ... + 8617978.

It is an arithmetic number, because the mean of its divisors is an integer number (107144947).

Almost surely, 2^3214436416 is an apocalyptic number.

3214436416 is the 56696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214436416

3214436416 is an abundant number, since it is smaller than the sum of its proper divisors (3535695245).

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

3214436416 is an frugal number, since it uses more digits than its factorization.

3214436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 394 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The cubic root of 3214436416 is about 1475.8252841669.

The spelling of 3214436416 in words is "three billion, two hundred fourteen million, four hundred thirty-six thousand, four hundred sixteen".