34110720000 has 1200 divisors, whose sum is σ = 148600932480. Its totient is φ = 7630848000.

The previous prime is 34110719999. The next prime is 34110720041. The reversal of 34110720000 is 2701143.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 725759977 + ... + 725760023.

Almost surely, 2^34110720000 is an apocalyptic number.

34110720000 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 34110720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74300466240).

34110720000 is an abundant number, since it is smaller than the sum of its proper divisors (114490212480).

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

34110720000 is an frugal number, since it uses more digits than its factorization.

34110720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 34110720000 in words is "thirty-four billion, one hundred ten million, seven hundred twenty thousand".