34272724720 has 80 divisors (see below), whose sum is σ = 86156173152. Its totient is φ = 12604032000.

The previous prime is 34272724711. The next prime is 34272724721. The reversal of 34272724720 is 2742727243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34272724721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195394 + ... + 326686.

Almost surely, 2^34272724720 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 34272724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43078086576).

34272724720 is an abundant number, since it is smaller than the sum of its proper divisors (51883448432).

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

34272724720 is a wasteful number, since it uses less digits than its factorization.

34272724720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131570 (or 131564 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 40.

The spelling of 34272724720 in words is "thirty-four billion, two hundred seventy-two million, seven hundred twenty-four thousand, seven hundred twenty".