3428219601 has 27 divisors (see below), whose sum is σ = 5136146769. Its totient is φ = 2203391232.

The previous prime is 3428219579. The next prime is 3428219611. The reversal of 3428219601 is 1069128243.

The square root of 3428219601 is 58551.

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

3428219601 is a `hidden beast` number, since 3 + 4 + 28 + 21 + 9 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78588225 + 3349631376 = 8865^2 + 57876^2 .

It is not a de Polignac number, because 3428219601 - 2¹⁷ = 3428088529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3428219611) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 5093601 + ... + 5094273.

Almost surely, 2^3428219601 is an apocalyptic number.

3428219601 is the 58551-st square number.

3428219601 is the 29276-th centered octagonal number.

It is an amenable number.

3428219601 is a deficient number, since it is larger than the sum of its proper divisors (1707927168).

3428219601 is an frugal number, since it uses more digits than its factorization.

3428219601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 3428219601 is about 1507.8433022584.

Multiplying 3428219601 by its sum of digits (36), we get a square (123415905636 = 351306²).

Multiplying 3428219601 by its product of nonzero digits (20736), we get a square (71087561646336 = 8431344²).

The spelling of 3428219601 in words is "three billion, four hundred twenty-eight million, two hundred nineteen thousand, six hundred one".