3279333457449 has 135 divisors (see below), whose sum is σ = 5627822102487. Its totient is φ = 1839983185152.

The previous prime is 3279333457427. The next prime is 3279333457451. The reversal of 3279333457449 is 9447543339723.

The square root of 3279333457449 is 1810893.

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

3279333457449 is a `hidden beast` number, since 3 + 27 + 9 + 3 + 3 + 34 + 574 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1472545845225 + 1806787612224 = 1213485^2 + 1344168^2 .

It is not a de Polignac number, because 3279333457449 - 2³⁹ = 2729577643561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3279333457249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25821523224 + ... + 25821523350.

Almost surely, 2^{3279333457449} is an apocalyptic number.

3279333457449 is the 1810893-rd square number.

3279333457449 is the 905447-th centered octagonal number.

It is an amenable number.

3279333457449 is a deficient number, since it is larger than the sum of its proper divisors (2348488645038).

3279333457449 is an frugal number, since it uses more digits than its factorization.

3279333457449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 234 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 63.

The spelling of 3279333457449 in words is "three trillion, two hundred seventy-nine billion, three hundred thirty-three million, four hundred fifty-seven thousand, four hundred forty-nine".