34822563469440 has 512 divisors, whose sum is σ = 114248363673600. Its totient is φ = 9018254229504.

The previous prime is 34822563469409. The next prime is 34822563469453. The reversal of 34822563469440 is 4496436522843.

It is a super-3 number, since 3×34822563469440³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 5168849752 + ... + 5168856488.

It is an arithmetic number, because the mean of its divisors is an integer number (223141335300).

Almost surely, 2^{34822563469440} is an apocalyptic number.

34822563469440 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 34822563469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57124181836800).

34822563469440 is an abundant number, since it is smaller than the sum of its proper divisors (79425800204160).

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

34822563469440 is a wasteful number, since it uses less digits than its factorization.

34822563469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 60.

The spelling of 34822563469440 in words is "thirty-four trillion, eight hundred twenty-two billion, five hundred sixty-three million, four hundred sixty-nine thousand, four hundred forty".