34099360800 has 288 divisors, whose sum is σ = 117150001920. Its totient is φ = 8591385600.

The previous prime is 34099360793. The next prime is 34099360829. The reversal of 34099360800 is 806399043.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22388839 + ... + 22390361.

It is an arithmetic number, because the mean of its divisors is an integer number (406770840).

Almost surely, 2^34099360800 is an apocalyptic number.

34099360800 is a gapful number since it is divisible by the number (30) 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 34099360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58575000960).

34099360800 is an abundant number, since it is smaller than the sum of its proper divisors (83050641120).

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

34099360800 is a wasteful number, since it uses less digits than its factorization.

34099360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 34099360800 in words is "thirty-four billion, ninety-nine million, three hundred sixty thousand, eight hundred".