34262238896448 has 224 divisors, whose sum is σ = 98059236992640. Its totient is φ = 10522446888960.

The previous prime is 34262238896447. The next prime is 34262238896453. The reversal of 34262238896448 is 84469883226243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34262238896443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47051740 + ... + 47774372.

It is an arithmetic number, because the mean of its divisors is an integer number (437764450860).

Almost surely, 2^{34262238896448} is an apocalyptic number.

34262238896448 is a gapful number since it is divisible by the number (38) 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 34262238896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49029618496320).

34262238896448 is an abundant number, since it is smaller than the sum of its proper divisors (63796998096192).

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

34262238896448 is a wasteful number, since it uses less digits than its factorization.

34262238896448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723025 (or 723015 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 69.

The spelling of 34262238896448 in words is "thirty-four trillion, two hundred sixty-two billion, two hundred thirty-eight million, eight hundred ninety-six thousand, four hundred forty-eight".