1638100008 has 96 divisors (see below), whose sum is σ = 4705646400. Its totient is φ = 513022464.

The previous prime is 1638099941. The next prime is 1638100021. The reversal of 1638100008 is 8000018361.

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 23 ways as a sum of consecutive naturals, for example, 1300483 + ... + 1301741.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^1638100008 is an apocalyptic number.

1638100008 is a gapful number since it is divisible by the number (18) 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 1638100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352823200).

1638100008 is an abundant number, since it is smaller than the sum of its proper divisors (3067546392).

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

1638100008 is a wasteful number, since it uses less digits than its factorization.

1638100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1638100008 is about 40473.4481851991. The cubic root of 1638100008 is about 1178.8181233516.

Adding to 1638100008 its reverse (8000018361), we get a palindrome (9638118369).

The spelling of 1638100008 in words is "one billion, six hundred thirty-eight million, one hundred thousand, eight".