34225670720 has 224 divisors, whose sum is σ = 87529586688. Its totient is φ = 12716808192.

The previous prime is 34225670707. The next prime is 34225670723. The reversal of 34225670720 is 2707652243.

It is not an unprimeable number, because it can be changed into a prime (34225670723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56384657 + ... + 56385263.

Almost surely, 2^34225670720 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 34225670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43764793344).

34225670720 is an abundant number, since it is smaller than the sum of its proper divisors (53303915968).

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

34225670720 is a wasteful number, since it uses less digits than its factorization.

34225670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 34225670720 in words is "thirty-four billion, two hundred twenty-five million, six hundred seventy thousand, seven hundred twenty".