34044054240 has 192 divisors, whose sum is σ = 122910068736. Its totient is φ = 7759183872.

The previous prime is 34044054227. The next prime is 34044054241. The reversal of 34044054240 is 4245044043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34044054198 and 34044054207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044054241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171729 + ... + 1200431.

It is an arithmetic number, because the mean of its divisors is an integer number (640156608).

Almost surely, 2^34044054240 is an apocalyptic number.

34044054240 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 34044054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61455034368).

34044054240 is an abundant number, since it is smaller than the sum of its proper divisors (88866014496).

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

34044054240 is a wasteful number, since it uses less digits than its factorization.

34044054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29081 (or 29073 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 34044054240 its reverse (4245044043), we get a palindrome (38289098283).

The spelling of 34044054240 in words is "thirty-four billion, forty-four million, fifty-four thousand, two hundred forty".