38693578884480 has 512 divisors, whose sum is σ = 150721346764800. Its totient is φ = 9321920225280.

The previous prime is 38693578884427. The next prime is 38693578884557. The reversal of 38693578884480 is 8448887539683.

38693578884480 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 3 + 57 + 8 + 8 + 84 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38693578884480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8725665 + ... + 12390495.

It is an arithmetic number, because the mean of its divisors is an integer number (294377630400).

Almost surely, 2^{38693578884480} is an apocalyptic number.

38693578884480 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 38693578884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75360673382400).

38693578884480 is an abundant number, since it is smaller than the sum of its proper divisors (112027767880320).

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

38693578884480 is a wasteful number, since it uses less digits than its factorization.

38693578884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664919 (or 3664901 counting only the distinct ones).

The product of its (nonzero) digits is 8918138880, while the sum is 81.

The spelling of 38693578884480 in words is "thirty-eight trillion, six hundred ninety-three billion, five hundred seventy-eight million, eight hundred eighty-four thousand, four hundred eighty".