34150200780800 has 576 divisors, whose sum is σ = 92900105887680. Its totient is φ = 12373917696000.

The previous prime is 34150200780781. The next prime is 34150200780847. The reversal of 34150200780800 is 808700205143.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10252235135 + ... + 10252238465.

It is an arithmetic number, because the mean of its divisors is an integer number (161284906055).

Almost surely, 2^{34150200780800} 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 34150200780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46450052943840).

34150200780800 is an abundant number, since it is smaller than the sum of its proper divisors (58749905106880).

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

34150200780800 is a wasteful number, since it uses less digits than its factorization.

34150200780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

Adding to 34150200780800 its reverse (808700205143), we get a palindrome (34958900985943).

The spelling of 34150200780800 in words is "thirty-four trillion, one hundred fifty billion, two hundred million, seven hundred eighty thousand, eight hundred".