34123368960 has 600 divisors, whose sum is σ = 126533458260. Its totient is φ = 8788082688.

The previous prime is 34123368913. The next prime is 34123368989. The reversal of 34123368960 is 6986332143.

It can be written as a sum of positive squares in 2 ways, for example, as 32244666624 + 1878702336 = 179568^2 + 43344^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 383408596 + ... + 383408684.

Almost surely, 2^34123368960 is an apocalyptic number.

34123368960 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 34123368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63266729130).

34123368960 is an abundant number, since it is smaller than the sum of its proper divisors (92410089300).

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

34123368960 is an frugal number, since it uses more digits than its factorization.

34123368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 34123368960 in words is "thirty-four billion, one hundred twenty-three million, three hundred sixty-eight thousand, nine hundred sixty".