38470782960324 has 243 divisors, whose sum is σ = 115760569148679. Its totient is φ = 10759569575040.

The previous prime is 38470782960293. The next prime is 38470782960329. The reversal of 38470782960324 is 42306928707483.

The square root of 38470782960324 is 6202482.

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

38470782960324 is a `hidden beast` number, since 3 + 8 + 470 + 7 + 82 + 9 + 60 + 3 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4467516322500 + 34003266637824 = 2113650^2 + 5831232^2 .

It is a super-2 number, since 2×38470782960324² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38470782960329) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5321725942 + ... + 5321733170.

Almost surely, 2^{38470782960324} is an apocalyptic number.

38470782960324 is the 6202482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38470782960324

38470782960324 is an abundant number, since it is smaller than the sum of its proper divisors (77289786188355).

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

38470782960324 is a wasteful number, since it uses less digits than its factorization.

38470782960324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14516 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 38470782960324 in words is "thirty-eight trillion, four hundred seventy billion, seven hundred eighty-two million, nine hundred sixty thousand, three hundred twenty-four".