34272701120 has 504 divisors, whose sum is σ = 103505654304. Its totient is φ = 10756128768.

The previous prime is 34272701119. The next prime is 34272701147. The reversal of 34272701120 is 2110727243.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303298184 + ... + 303298296.

Almost surely, 2^34272701120 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 34272701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51752827152).

34272701120 is an abundant number, since it is smaller than the sum of its proper divisors (69232953184).

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

34272701120 is a wasteful number, since it uses less digits than its factorization.

34272701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The spelling of 34272701120 in words is "thirty-four billion, two hundred seventy-two million, seven hundred one thousand, one hundred twenty".