34838288283843 has 72 divisors (see below), whose sum is σ = 56765174400480. Its totient is φ = 20566346169600.

The previous prime is 34838288283839. The next prime is 34838288283853.

34838288283843 is a `hidden beast` number, since 3 + 483 + 8 + 2 + 88 + 28 + 3 + 8 + 43 = 666.

34838288283843 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34838288283843 - 2² = 34838288283839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34838288283803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4296343 + ... + 9388031.

Almost surely, 2^{34838288283843} is an apocalyptic number.

34838288283843 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34838288283843 is a deficient number, since it is larger than the sum of its proper divisors (21926886116637).

34838288283843 is a wasteful number, since it uses less digits than its factorization.

34838288283843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091881 (or 5091867 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 72.

The spelling of 34838288283843 in words is "thirty-four trillion, eight hundred thirty-eight billion, two hundred eighty-eight million, two hundred eighty-three thousand, eight hundred forty-three".