34110772540100 has 144 divisors (see below), whose sum is σ = 78350185267200. Its totient is φ = 12854289168000.

The previous prime is 34110772540079. The next prime is 34110772540109. The reversal of 34110772540100 is 104527701143.

It is a super-2 number, since 2×34110772540100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34110772540109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493473341 + ... + 493542459.

It is an arithmetic number, because the mean of its divisors is an integer number (544098508800).

Almost surely, 2^{34110772540100} 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 34110772540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39175092633600).

34110772540100 is an abundant number, since it is smaller than the sum of its proper divisors (44239412727100).

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

34110772540100 is a wasteful number, since it uses less digits than its factorization.

34110772540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70594 (or 70587 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 34110772540100 in words is "thirty-four trillion, one hundred ten billion, seven hundred seventy-two million, five hundred forty thousand, one hundred".