39138206800 has 480 divisors, whose sum is σ = 122220748800. Its totient is φ = 11688192000.

The previous prime is 39138206797. The next prime is 39138206819. The reversal of 39138206800 is 860283193.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170909086 + ... + 170909314.

It is an arithmetic number, because the mean of its divisors is an integer number (254626560).

Almost surely, 2^39138206800 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 39138206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61110374400).

39138206800 is an abundant number, since it is smaller than the sum of its proper divisors (83082542000).

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

39138206800 is a wasteful number, since it uses less digits than its factorization.

39138206800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

Adding to 39138206800 its reverse (860283193), we get a palindrome (39998489993).

The spelling of 39138206800 in words is "thirty-nine billion, one hundred thirty-eight million, two hundred six thousand, eight hundred".