8038248100 has 18 divisors (see below), whose sum is σ = 17442998594. Its totient is φ = 3215299200.

The previous prime is 8038248083. The next prime is 8038248109. The reversal of 8038248100 is 18428308.

It can be written as a sum of positive squares in 3 ways, for example, as 145347136 + 7892900964 = 12056^2 + 88842^2 .

It is a super-2 number, since 2×8038248100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8038248109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40191141 + ... + 40191340.

Almost surely, 2^8038248100 is an apocalyptic number.

It is an amenable number.

8038248100 is an abundant number, since it is smaller than the sum of its proper divisors (9404750494).

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

8038248100 is a wasteful number, since it uses less digits than its factorization.

8038248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80382495 (or 80382488 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 8038248100 is about 89656.2775270087. The cubic root of 8038248100 is about 2003.1822755423.

The spelling of 8038248100 in words is "eight billion, thirty-eight million, two hundred forty-eight thousand, one hundred".