34308824992 has 96 divisors (see below), whose sum is σ = 78076453392. Its totient is φ = 14699003904.

The previous prime is 34308824983. The next prime is 34308825041. The reversal of 34308824992 is 29942880343.

It can be written as a sum of positive squares in 8 ways, for example, as 11218199056 + 23090625936 = 105916^2 + 151956^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483028 + ... + 549484.

Almost surely, 2^34308824992 is an apocalyptic number.

34308824992 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 34308824992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39038226696).

34308824992 is an abundant number, since it is smaller than the sum of its proper divisors (43767628400).

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

34308824992 is a wasteful number, since it uses less digits than its factorization.

34308824992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66570 (or 66562 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 34308824992 in words is "thirty-four billion, three hundred eight million, eight hundred twenty-four thousand, nine hundred ninety-two".