34282128249 has 12 divisors (see below), whose sum is σ = 49531452516. Its totient is φ = 22848833952.

The previous prime is 34282128247. The next prime is 34282128263. The reversal of 34282128249 is 94282128243.

34282128249 is a `hidden beast` number, since 3 + 4 + 282 + 128 + 249 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7702695225 + 26579433024 = 87765^2 + 163032^2 .

It is not a de Polignac number, because 34282128249 - 2¹ = 34282128247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34282128247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456354 + ... + 526139.

It is an arithmetic number, because the mean of its divisors is an integer number (4127621043).

Almost surely, 2^34282128249 is an apocalyptic number.

It is an amenable number.

34282128249 is a deficient number, since it is larger than the sum of its proper divisors (15249324267).

34282128249 is a wasteful number, since it uses less digits than its factorization.

34282128249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986376 (or 986373 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 34282128249 in words is "thirty-four billion, two hundred eighty-two million, one hundred twenty-eight thousand, two hundred forty-nine".