34226434223520 has 384 divisors, whose sum is σ = 134497610956800. Its totient is φ = 7107696967680.

The previous prime is 34226434223483. The next prime is 34226434223549. The reversal of 34226434223520 is 2532243462243.

It is a super-2 number, since 2×34226434223520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61186056 + ... + 61742904.

It is an arithmetic number, because the mean of its divisors is an integer number (350254195200).

Almost surely, 2^{34226434223520} is an apocalyptic number.

34226434223520 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 34226434223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67248805478400).

34226434223520 is an abundant number, since it is smaller than the sum of its proper divisors (100271176733280).

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

34226434223520 is a wasteful number, since it uses less digits than its factorization.

34226434223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558548 (or 558540 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 42.

Adding to 34226434223520 its reverse (2532243462243), we get a palindrome (36758677685763).

The spelling of 34226434223520 in words is "thirty-four trillion, two hundred twenty-six billion, four hundred thirty-four million, two hundred twenty-three thousand, five hundred twenty".