34781608320256 has 288 divisors, whose sum is σ = 83917877944320. Its totient is φ = 14055026688000.

The previous prime is 34781608320247. The next prime is 34781608320271. The reversal of 34781608320256 is 65202380618743.

It is a junction number, because it is equal to n+sod(n) for n = 34781608320197 and 34781608320206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649129161 + ... + 6649134391.

It is an arithmetic number, because the mean of its divisors is an integer number (291381520640).

Almost surely, 2^{34781608320256} 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 34781608320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41958938972160).

34781608320256 is an abundant number, since it is smaller than the sum of its proper divisors (49136269624064).

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

34781608320256 is a wasteful number, since it uses less digits than its factorization.

34781608320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

Adding to 34781608320256 its reverse (65202380618743), we get a palindrome (99983988938999).

The spelling of 34781608320256 in words is "thirty-four trillion, seven hundred eighty-one billion, six hundred eight million, three hundred twenty thousand, two hundred fifty-six".