34376326824 has 128 divisors (see below), whose sum is σ = 104152089600. Its totient is φ = 9230146560.

The previous prime is 34376326763. The next prime is 34376326871. The reversal of 34376326824 is 42862367343.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1964787 + ... + 1982205.

It is an arithmetic number, because the mean of its divisors is an integer number (813688200).

Almost surely, 2^34376326824 is an apocalyptic number.

34376326824 is a gapful number since it is divisible by the number (34) 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 34376326824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52076044800).

34376326824 is an abundant number, since it is smaller than the sum of its proper divisors (69775762776).

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

34376326824 is a wasteful number, since it uses less digits than its factorization.

34376326824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18143 (or 18139 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 48.

The spelling of 34376326824 in words is "thirty-four billion, three hundred seventy-six million, three hundred twenty-six thousand, eight hundred twenty-four".