34306778880 has 864 divisors, whose sum is σ = 138422688768. Its totient is φ = 8062156800.

The previous prime is 34306778837. The next prime is 34306778927. The reversal of 34306778880 is 8887760343.

34306778880 is a `hidden beast` number, since 3 + 430 + 67 + 78 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126593145 + ... + 126593415.

Almost surely, 2^34306778880 is an apocalyptic number.

34306778880 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 34306778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69211344384).

34306778880 is an abundant number, since it is smaller than the sum of its proper divisors (104115909888).

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

34306778880 is a wasteful number, since it uses less digits than its factorization.

34306778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 34306778880 in words is "thirty-four billion, three hundred six million, seven hundred seventy-eight thousand, eight hundred eighty".