3461204224 has 27 divisors (see below), whose sum is σ = 6910767577. Its totient is φ = 1730131456.

The previous prime is 3461204209. The next prime is 3461204237. The reversal of 3461204224 is 4224021643.

The square root of 3461204224 is 58832.

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., 2762553600 + 698650624 = 52560^2 + 26432^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3461204192 and 3461204201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 939474 + ... + 943150.

Almost surely, 2^3461204224 is an apocalyptic number.

3461204224 is the 58832-nd square number.

It is an amenable number.

3461204224 is a deficient number, since it is larger than the sum of its proper divisors (3449563353).

3461204224 is an frugal number, since it uses more digits than its factorization.

3461204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The cubic root of 3461204224 is about 1512.6637810395.

Multiplying 3461204224 by its product of nonzero digits (9216), we get a square (31898458128384 = 5647872²).

Adding to 3461204224 its reverse (4224021643), we get a palindrome (7685225867).

The spelling of 3461204224 in words is "three billion, four hundred sixty-one million, two hundred four thousand, two hundred twenty-four".