8342441100 has 270 divisors, whose sum is σ = 31459561980. Its totient is φ = 1906752960.

The previous prime is 8342441087. The next prime is 8342441101. The reversal of 8342441100 is 11442438.

8342441100 is a `hidden beast` number, since 83 + 42 + 441 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8342441101) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 386391 + ... + 407409.

Almost surely, 2^8342441100 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 8342441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729780990).

8342441100 is an abundant number, since it is smaller than the sum of its proper divisors (23117120880).

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

8342441100 is a wasteful number, since it uses less digits than its factorization.

8342441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21059 (or 21036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8342441100 is about 91336.9645871812. The cubic root of 8342441100 is about 2028.1389999611.

Adding to 8342441100 its reverse (11442438), we get a palindrome (8353883538).

The spelling of 8342441100 in words is "eight billion, three hundred forty-two million, four hundred forty-one thousand, one hundred".