34225259520 has 176 divisors, whose sum is σ = 115907493888. Its totient is φ = 8589803520.

The previous prime is 34225259477. The next prime is 34225259521. The reversal of 34225259520 is 2595252243.

It is a super-2 number, since 2×34225259520² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34225259521) by changing a digit.

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, 195585 + ... + 326655.

Almost surely, 2^34225259520 is an apocalyptic number.

34225259520 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 34225259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57953746944).

34225259520 is an abundant number, since it is smaller than the sum of its proper divisors (81682234368).

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

34225259520 is a wasteful number, since it uses less digits than its factorization.

34225259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131116 (or 131098 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 34225259520 in words is "thirty-four billion, two hundred twenty-five million, two hundred fifty-nine thousand, five hundred twenty".