38520989814784 has 117 divisors (see below), whose sum is σ = 79201023669831. Its totient is φ = 18732791070720.

The previous prime is 38520989814781. The next prime is 38520989814803. The reversal of 38520989814784 is 48741898902583.

The square root of 38520989814784 is 6206528.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20107690905600 + 18413298909184 = 4484160^2 + 4291072^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38520989814784.

It is not an unprimeable number, because it can be changed into a prime (38520989814781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14697056994 + ... + 14697059614.

Almost surely, 2^{38520989814784} is an apocalyptic number.

38520989814784 is the 6206528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38520989814784

38520989814784 is an abundant number, since it is smaller than the sum of its proper divisors (40680033855047).

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

38520989814784 is an frugal number, since it uses more digits than its factorization.

38520989814784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 76.

The spelling of 38520989814784 in words is "thirty-eight trillion, five hundred twenty billion, nine hundred eighty-nine million, eight hundred fourteen thousand, seven hundred eighty-four".