38688388842960 has 360 divisors, whose sum is σ = 135017237127240. Its totient is φ = 10309384470528.

The previous prime is 38688388842923. The next prime is 38688388843001. The reversal of 38688388842960 is 6924888388683.

38688388842960 is a `hidden beast` number, since 3 + 8 + 6 + 88 + 38 + 88 + 429 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2472353706384 + 36216035136576 = 1572372^2 + 6017976^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 38688388842960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739529764 + ... + 739582076.

It is an arithmetic number, because the mean of its divisors is an integer number (375047880909).

Almost surely, 2^{38688388842960} is an apocalyptic number.

38688388842960 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 38688388842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67508618563620).

38688388842960 is an abundant number, since it is smaller than the sum of its proper divisors (96328848284280).

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

38688388842960 is an equidigital number, since it uses as much as digits as its factorization.

38688388842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53759 (or 53732 counting only the distinct ones).

The product of its (nonzero) digits is 6115295232, while the sum is 81.

The spelling of 38688388842960 in words is "thirty-eight trillion, six hundred eighty-eight billion, three hundred eighty-eight million, eight hundred forty-two thousand, nine hundred sixty".