34856743248 has 120 divisors (see below), whose sum is σ = 104159470272. Its totient is φ = 10855240704.

The previous prime is 34856743193. The next prime is 34856743277. The reversal of 34856743248 is 84234765843.

34856743248 is a `hidden beast` number, since 3 + 4 + 8 + 567 + 4 + 32 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34856743194 and 34856743203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20040 + ... + 264792.

Almost surely, 2^34856743248 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 34856743248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52079735136).

34856743248 is an abundant number, since it is smaller than the sum of its proper divisors (69302727024).

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

34856743248 is a wasteful number, since it uses less digits than its factorization.

34856743248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244833 (or 244824 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 34856743248 in words is "thirty-four billion, eight hundred fifty-six million, seven hundred forty-three thousand, two hundred forty-eight".