38200508590336 has 243 divisors, whose sum is σ = 83812610131803. Its totient is φ = 17373082337280.

The previous prime is 38200508590301. The next prime is 38200508590337. The reversal of 38200508590336 is 63309580500283.

It is a happy number.

The square root of 38200508590336 is 6180656.

It is a perfect power (a square), and thus also a powerful number.

38200508590336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24655753287936 + 13544755302400 = 4965456^2 + 3680320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38200508590337) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52115291026 + ... + 52115291758.

Almost surely, 2^{38200508590336} is an apocalyptic number.

38200508590336 is the 6180656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38200508590336

38200508590336 is an abundant number, since it is smaller than the sum of its proper divisors (45612101541467).

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

38200508590336 is an frugal number, since it uses more digits than its factorization.

38200508590336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 38200508590336 in words is "thirty-eight trillion, two hundred billion, five hundred eight million, five hundred ninety thousand, three hundred thirty-six".