5838240100 has 144 divisors (see below), whose sum is σ = 16181214336. Its totient is φ = 1775232000.

The previous prime is 5838240097. The next prime is 5838240119. The reversal of 5838240100 is 10428385.

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, 306454 + ... + 324946.

It is an arithmetic number, because the mean of its divisors is an integer number (112369544).

Almost surely, 2^5838240100 is an apocalyptic number.

5838240100 is a gapful number since it is divisible by the number (50) 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 5838240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090607168).

5838240100 is an abundant number, since it is smaller than the sum of its proper divisors (10342974236).

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

5838240100 is a wasteful number, since it uses less digits than its factorization.

5838240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18566 (or 18559 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5838240100 is about 76408.3771585289. The cubic root of 5838240100 is about 1800.6417567630.

Adding to 5838240100 its reverse (10428385), we get a palindrome (5848668485).

The spelling of 5838240100 in words is "five billion, eight hundred thirty-eight million, two hundred forty thousand, one hundred".