34101760000 has 520 divisors, whose sum is σ = 106858344384. Its totient is φ = 10567680000.

The previous prime is 34101759971. The next prime is 34101760013. The reversal of 34101760000 is 6710143.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197119914 + ... + 197120086.

Almost surely, 2^34101760000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34101760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53429172192).

34101760000 is an abundant number, since it is smaller than the sum of its proper divisors (72756584384).

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

34101760000 is an equidigital number, since it uses as much as digits as its factorization.

34101760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The spelling of 34101760000 in words is "thirty-four billion, one hundred one million, seven hundred sixty thousand".