34314068880 has 1440 divisors, whose sum is σ = 159490041984. Its totient is φ = 6772211712.

The previous prime is 34314068821. The next prime is 34314068891. The reversal of 34314068880 is 8886041343.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 210515679 + ... + 210515841.

Almost surely, 2^34314068880 is an apocalyptic number.

34314068880 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 34314068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79745020992).

34314068880 is an abundant number, since it is smaller than the sum of its proper divisors (125175973104).

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

34314068880 is a wasteful number, since it uses less digits than its factorization.

34314068880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 34314068880 in words is "thirty-four billion, three hundred fourteen million, sixty-eight thousand, eight hundred eighty".