34854833088 has 112 divisors (see below), whose sum is σ = 102521064960. Its totient is φ = 11612120832.

The previous prime is 34854833087. The next prime is 34854833089. The reversal of 34854833088 is 88033845843.

34854833088 is a `hidden beast` number, since 3 + 4 + 85 + 483 + 3 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (34854833087) and next prime (34854833089).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34854833087) 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 15 ways as a sum of consecutive naturals, for example, 4224295 + ... + 4232537.

Almost surely, 2^34854833088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34854833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51260532480).

34854833088 is an abundant number, since it is smaller than the sum of its proper divisors (67666231872).

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

34854833088 is a wasteful number, since it uses less digits than its factorization.

34854833088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 34854833088 in words is "thirty-four billion, eight hundred fifty-four million, eight hundred thirty-three thousand, eighty-eight".