386742500000 has 288 divisors, whose sum is σ = 986821106544. Its totient is φ = 149184000000.

The previous prime is 386742499933. The next prime is 386742500003. The reversal of 386742500000 is 5247683.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 336775944976 + 49966555024 = 580324^2 + 223532^2 .

It is a super-2 number, since 2×386742500000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (386742500003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3422499944 + ... + 3422500056.

Almost surely, 2^386742500000 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 386742500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493410553272).

386742500000 is an abundant number, since it is smaller than the sum of its proper divisors (600078606544).

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

386742500000 is an frugal number, since it uses more digits than its factorization.

386742500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 386742500000 its reverse (5247683), we get a palindrome (386747747683).

The spelling of 386742500000 in words is "three hundred eighty-six billion, seven hundred forty-two million, five hundred thousand".