34225875568 has 80 divisors (see below), whose sum is σ = 71815403520. Its totient is φ = 15746358528.

The previous prime is 34225875553. The next prime is 34225875577. The reversal of 34225875568 is 86557852243.

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 15 ways as a sum of consecutive naturals, for example, 7275105 + ... + 7279807.

It is an arithmetic number, because the mean of its divisors is an integer number (897692544).

Almost surely, 2^34225875568 is an apocalyptic number.

34225875568 is a gapful number since it is divisible by the number (38) 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 34225875568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35907701760).

34225875568 is an abundant number, since it is smaller than the sum of its proper divisors (37589527952).

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

34225875568 is a wasteful number, since it uses less digits than its factorization.

34225875568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5408 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 55.

The spelling of 34225875568 in words is "thirty-four billion, two hundred twenty-five million, eight hundred seventy-five thousand, five hundred sixty-eight".