34225004520 has 672 divisors, whose sum is σ = 142307944200. Its totient is φ = 7357464576.

The previous prime is 34225004519. The next prime is 34225004579. The reversal of 34225004520 is 2540052243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21621349764 + 12603654756 = 147042^2 + 112266^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 24289576 + ... + 24290984.

Almost surely, 2^34225004520 is an apocalyptic number.

34225004520 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 34225004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71153972100).

34225004520 is an abundant number, since it is smaller than the sum of its proper divisors (108082939680).

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

34225004520 is a wasteful number, since it uses less digits than its factorization.

34225004520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 34225004520 its reverse (2540052243), we get a palindrome (36765056763).

The spelling of 34225004520 in words is "thirty-four billion, two hundred twenty-five million, four thousand, five hundred twenty".