34211241440 has 96 divisors (see below), whose sum is σ = 84393985536. Its totient is φ = 13080855040.

The previous prime is 34211241401. The next prime is 34211241451. The reversal of 34211241440 is 4414211243.

It is a super-3 number, since 3×34211241440³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9798095 + ... + 9801585.

It is an arithmetic number, because the mean of its divisors is an integer number (879104016).

Almost surely, 2^34211241440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34211241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42196992768).

34211241440 is an abundant number, since it is smaller than the sum of its proper divisors (50182744096).

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

34211241440 is a wasteful number, since it uses less digits than its factorization.

34211241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 34211241440 its reverse (4414211243), we get a palindrome (38625452683).

The spelling of 34211241440 in words is "thirty-four billion, two hundred eleven million, two hundred forty-one thousand, four hundred forty".