34300858752 has 160 divisors (see below), whose sum is σ = 102817499400. Its totient is φ = 11350886400.

The previous prime is 34300858687. The next prime is 34300858789. The reversal of 34300858752 is 25785800343.

34300858752 is a `hidden beast` number, since 34 + 30 + 0 + 8 + 587 + 5 + 2 = 666.

It is a super-2 number, since 2×34300858752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34300858698 and 34300858707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1429252 + ... + 1453052.

Almost surely, 2^34300858752 is an apocalyptic number.

34300858752 is a gapful number since it is divisible by the number (32) 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 34300858752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408749700).

34300858752 is an abundant number, since it is smaller than the sum of its proper divisors (68516640648).

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

34300858752 is a wasteful number, since it uses less digits than its factorization.

34300858752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23966 (or 23945 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 34300858752 in words is "thirty-four billion, three hundred million, eight hundred fifty-eight thousand, seven hundred fifty-two".