38717478262080 has 672 divisors, whose sum is σ = 140573652710400. Its totient is φ = 9767750860800.

The previous prime is 38717478262061. The next prime is 38717478262081. The reversal of 38717478262080 is 8026287471783.

It is a happy number.

38717478262080 is a `hidden beast` number, since 3 + 87 + 1 + 7 + 478 + 2 + 6 + 2 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38717478261999 and 38717478262017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38717478262081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 953400816 + ... + 953441424.

It is an arithmetic number, because the mean of its divisors is an integer number (209186983200).

Almost surely, 2^{38717478262080} is an apocalyptic number.

38717478262080 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 38717478262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70286826355200).

38717478262080 is an abundant number, since it is smaller than the sum of its proper divisors (101856174448320).

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

38717478262080 is a wasteful number, since it uses less digits than its factorization.

38717478262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40903 (or 40890 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 38717478262080 in words is "thirty-eight trillion, seven hundred seventeen billion, four hundred seventy-eight million, two hundred sixty-two thousand, eighty".