34742780800 has 384 divisors, whose sum is σ = 106296321600. Its totient is φ = 10926489600.

The previous prime is 34742780797. The next prime is 34742780833. The reversal of 34742780800 is 808724743.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66684540 + ... + 66685060.

Almost surely, 2^34742780800 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 34742780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53148160800).

34742780800 is an abundant number, since it is smaller than the sum of its proper divisors (71553540800).

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

34742780800 is a wasteful number, since it uses less digits than its factorization.

34742780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 34742780800 in words is "thirty-four billion, seven hundred forty-two million, seven hundred eighty thousand, eight hundred".