8634385800 has 144 divisors (see below), whose sum is σ = 29023640880. Its totient is φ = 2300400000.

The previous prime is 8634385787. The next prime is 8634385801. The reversal of 8634385800 is 85834368.

8634385800 is a `hidden beast` number, since 8 + 6 + 34 + 38 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8634385801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3834675 + ... + 3836925.

Almost surely, 2^8634385800 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 8634385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511820440).

8634385800 is an abundant number, since it is smaller than the sum of its proper divisors (20389255080).

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

8634385800 is a wasteful number, since it uses less digits than its factorization.

8634385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8634385800 is about 92921.3958138813. The cubic root of 8634385800 is about 2051.5265884622.

The spelling of 8634385800 in words is "eight billion, six hundred thirty-four million, three hundred eighty-five thousand, eight hundred".