34863086280 has 192 divisors, whose sum is σ = 119961233280. Its totient is φ = 8084116480.

The previous prime is 34863086273. The next prime is 34863086287. The reversal of 34863086280 is 8268036843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34863086273) and next prime (34863086287).

It is not an unprimeable number, because it can be changed into a prime (34863086287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281764 + ... + 386156.

It is an arithmetic number, because the mean of its divisors is an integer number (624798090).

Almost surely, 2^34863086280 is an apocalyptic number.

34863086280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34863086280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59980616640).

34863086280 is an abundant number, since it is smaller than the sum of its proper divisors (85098147000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34863086280 is a wasteful number, since it uses less digits than its factorization.

34863086280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104452 (or 104437 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 34863086280 in words is "thirty-four billion, eight hundred sixty-three million, eighty-six thousand, two hundred eighty".