34054452224 has 176 divisors, whose sum is σ = 80316910800. Its totient is φ = 14280032256.

The previous prime is 34054452209. The next prime is 34054452233. The reversal of 34054452224 is 42225445043.

It can be written as a sum of positive squares in 8 ways, for example, as 480486400 + 33573965824 = 21920^2 + 183232^2 .

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, 6560222 + ... + 6565410.

Almost surely, 2^34054452224 is an apocalyptic number.

34054452224 is a gapful number since it is divisible by the number (34) 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 34054452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40158455400).

34054452224 is an abundant number, since it is smaller than the sum of its proper divisors (46262458576).

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

34054452224 is a wasteful number, since it uses less digits than its factorization.

34054452224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 34054452224 its reverse (42225445043), we get a palindrome (76279897267).

The spelling of 34054452224 in words is "thirty-four billion, fifty-four million, four hundred fifty-two thousand, two hundred twenty-four".