34681416800 has 72 divisors (see below), whose sum is σ = 84981279600. Its totient is φ = 13820910080.

The previous prime is 34681416799. The next prime is 34681416821. The reversal of 34681416800 is 861418643.

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 11 ways as a sum of consecutive naturals, for example, 134621 + ... + 295779.

It is an arithmetic number, because the mean of its divisors is an integer number (1180295550).

Almost surely, 2^34681416800 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 34681416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42490639800).

34681416800 is an abundant number, since it is smaller than the sum of its proper divisors (50299862800).

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

34681416800 is a wasteful number, since it uses less digits than its factorization.

34681416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161448 (or 161435 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 34681416800 in words is "thirty-four billion, six hundred eighty-one million, four hundred sixteen thousand, eight hundred".