38791716480 has 640 divisors, whose sum is σ = 153820814400. Its totient is φ = 9236643840.

The previous prime is 38791716479. The next prime is 38791716497. The reversal of 38791716480 is 8461719783.

38791716480 is a `hidden beast` number, since 3 + 8 + 7 + 91 + 71 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33643584 + ... + 33644736.

Almost surely, 2^38791716480 is an apocalyptic number.

38791716480 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 38791716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76910407200).

38791716480 is an abundant number, since it is smaller than the sum of its proper divisors (115029097920).

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

38791716480 is a wasteful number, since it uses less digits than its factorization.

38791716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 38791716480 in words is "thirty-eight billion, seven hundred ninety-one million, seven hundred sixteen thousand, four hundred eighty".