34113434880 has 288 divisors, whose sum is σ = 131840158464. Its totient is φ = 7338590208.

The previous prime is 34113434833. The next prime is 34113434909. The reversal of 34113434880 is 8843431143.

It is a super-2 number, since 2×34113434880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 419634 + ... + 494286.

It is an arithmetic number, because the mean of its divisors is an integer number (457778328).

Almost surely, 2^34113434880 is an apocalyptic number.

34113434880 is a gapful number since it is divisible by the number (30) 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 34113434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65920079232).

34113434880 is an abundant number, since it is smaller than the sum of its proper divisors (97726723584).

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

34113434880 is a wasteful number, since it uses less digits than its factorization.

34113434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74701 (or 74687 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 34113434880 in words is "thirty-four billion, one hundred thirteen million, four hundred thirty-four thousand, eight hundred eighty".