34822000851 has 48 divisors (see below), whose sum is σ = 53335306752. Its totient is φ = 20155386240.

The previous prime is 34822000849. The next prime is 34822000867. The reversal of 34822000851 is 15800022843.

34822000851 is a nontrivial binomial coefficient, being equal to C(263902, 2).

It is not a de Polignac number, because 34822000851 - 2¹ = 34822000849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34822000951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6066855 + ... + 6072591.

It is an arithmetic number, because the mean of its divisors is an integer number (1111152224).

Almost surely, 2^34822000851 is an apocalyptic number.

34822000851 is the 263901-st triangular number and also the 131951-st hexagonal number.

34822000851 is a deficient number, since it is larger than the sum of its proper divisors (18513305901).

34822000851 is a wasteful number, since it uses less digits than its factorization.

34822000851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 34822000851 in words is "thirty-four billion, eight hundred twenty-two million, eight hundred fifty-one", and thus it is an aban number.