38809522876320 has 768 divisors, whose sum is σ = 162499498721280. Its totient is φ = 8458248572928.

The previous prime is 38809522876253. The next prime is 38809522876321. The reversal of 38809522876320 is 2367822590883.

38809522876320 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 9 + 522 + 8 + 76 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38809522876321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220391829 + ... + 220567851.

It is an arithmetic number, because the mean of its divisors is an integer number (211587888960).

Almost surely, 2^{38809522876320} is an apocalyptic number.

38809522876320 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 38809522876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81249749360640).

38809522876320 is an abundant number, since it is smaller than the sum of its proper divisors (123689975844960).

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

38809522876320 is a wasteful number, since it uses less digits than its factorization.

38809522876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176394 (or 176380 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 38809522876320 in words is "thirty-eight trillion, eight hundred nine billion, five hundred twenty-two million, eight hundred seventy-six thousand, three hundred twenty".