34289041720 has 64 divisors (see below), whose sum is σ = 79746451200. Its totient is φ = 13255280640.

The previous prime is 34289041693. The next prime is 34289041727. The reversal of 34289041720 is 2714098243.

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 (34289041727) 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, 920416 + ... + 956944.

It is an arithmetic number, because the mean of its divisors is an integer number (1246038300).

Almost surely, 2^34289041720 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 34289041720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39873225600).

34289041720 is an abundant number, since it is smaller than the sum of its proper divisors (45457409480).

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

34289041720 is a wasteful number, since it uses less digits than its factorization.

34289041720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37328 (or 37324 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 34289041720 in words is "thirty-four billion, two hundred eighty-nine million, forty-one thousand, seven hundred twenty".