38684580480 has 1024 divisors, whose sum is σ = 171442252800. Its totient is φ = 8026324992.

The previous prime is 38684580449. The next prime is 38684580499. The reversal of 38684580480 is 8408548683.

38684580480 is a `hidden beast` number, since 3 + 8 + 6 + 84 + 5 + 80 + 480 = 666.

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 127 ways as a sum of consecutive naturals, for example, 114790872 + ... + 114791208.

It is an arithmetic number, because the mean of its divisors is an integer number (167424075).

Almost surely, 2^38684580480 is an apocalyptic number.

38684580480 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 38684580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85721126400).

38684580480 is an abundant number, since it is smaller than the sum of its proper divisors (132757672320).

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

38684580480 is a wasteful number, since it uses less digits than its factorization.

38684580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 38684580480 in words is "thirty-eight billion, six hundred eighty-four million, five hundred eighty thousand, four hundred eighty".