38713516600320 has 2816 divisors, whose sum is σ = 154743295795200. Its totient is φ = 9142366371840.

The previous prime is 38713516600261. The next prime is 38713516600351. The reversal of 38713516600320 is 2300661531783.

38713516600320 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 3 + 5 + 1 + 6 + 600 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 399108418512 + ... + 399108418608.

Almost surely, 2^{38713516600320} is an apocalyptic number.

38713516600320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38713516600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77371647897600).

38713516600320 is an abundant number, since it is smaller than the sum of its proper divisors (116029779194880).

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

38713516600320 is a wasteful number, since it uses less digits than its factorization.

38713516600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 38713516600320 in words is "thirty-eight trillion, seven hundred thirteen billion, five hundred sixteen million, six hundred thousand, three hundred twenty".