34054244224 has 384 divisors, whose sum is σ = 94979364480. Its totient is φ = 11948912640.

The previous prime is 34054244201. The next prime is 34054244249. The reversal of 34054244224 is 42244245043.

It is a self number, because there is not a number n which added to its sum of digits gives 34054244224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38566087 + ... + 38566969.

It is an arithmetic number, because the mean of its divisors is an integer number (247342095).

Almost surely, 2^34054244224 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 34054244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47489682240).

34054244224 is an abundant number, since it is smaller than the sum of its proper divisors (60925120256).

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

34054244224 is a wasteful number, since it uses less digits than its factorization.

34054244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 34054244224 its reverse (42244245043), we get a palindrome (76298489267).

The spelling of 34054244224 in words is "thirty-four billion, fifty-four million, two hundred forty-four thousand, two hundred twenty-four".