38718828432000 has 384 divisors, whose sum is σ = 139170186951120. Its totient is φ = 10316021760000.

The previous prime is 38718828431999. The next prime is 38718828432041. The reversal of 38718828432000 is 23482881783.

38718828432000 is a `hidden beast` number, since 3 + 8 + 7 + 188 + 28 + 432 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3440075305536 + 35278753126464 = 1854744^2 + 5939592^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165915400 + ... + 166148600.

Almost surely, 2^{38718828432000} is an apocalyptic number.

38718828432000 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 38718828432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69585093475560).

38718828432000 is an abundant number, since it is smaller than the sum of its proper divisors (100451358519120).

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

38718828432000 is a wasteful number, since it uses less digits than its factorization.

38718828432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234389 (or 234364 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 38718828432000 in words is "thirty-eight trillion, seven hundred eighteen billion, eight hundred twenty-eight million, four hundred thirty-two thousand".