34496440200 has 144 divisors (see below), whose sum is σ = 117317491200. Its totient is φ = 9082569600.

The previous prime is 34496440133. The next prime is 34496440241. The reversal of 34496440200 is 204469443.

34496440200 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 6 + 440 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 20905 + ... + 263495.

It is an arithmetic number, because the mean of its divisors is an integer number (814704800).

Almost surely, 2^34496440200 is an apocalyptic number.

34496440200 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 34496440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58658745600).

34496440200 is an abundant number, since it is smaller than the sum of its proper divisors (82821051000).

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

34496440200 is a wasteful number, since it uses less digits than its factorization.

34496440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242692 (or 242680 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34496440200 in words is "thirty-four billion, four hundred ninety-six million, four hundred forty thousand, two hundred".