34289010720 has 768 divisors, whose sum is σ = 130927104000. Its totient is φ = 8465264640.

The previous prime is 34289010697. The next prime is 34289010731. The reversal of 34289010720 is 2701098243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314578026 + ... + 314578134.

It is an arithmetic number, because the mean of its divisors is an integer number (170478000).

Almost surely, 2^34289010720 is an apocalyptic number.

34289010720 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 34289010720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65463552000).

34289010720 is an abundant number, since it is smaller than the sum of its proper divisors (96638093280).

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

34289010720 is a wasteful number, since it uses less digits than its factorization.

34289010720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 34289010720 in words is "thirty-four billion, two hundred eighty-nine million, ten thousand, seven hundred twenty".