38804178490000 has 675 divisors, whose sum is σ = 120274463289981. Its totient is φ = 12079858560000.

The previous prime is 38804178489997. The next prime is 38804178490001. The reversal of 38804178490000 is 9487140883.

The square root of 38804178490000 is 6229300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 13735651594896 + 25068526895104 = 3706164^2 + 5006848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38804178490000.

It is not an unprimeable number, because it can be changed into a prime (38804178490001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47965609596 + ... + 47965610404.

Almost surely, 2^{38804178490000} is an apocalyptic number.

38804178490000 is the 6229300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38804178490000

38804178490000 is an abundant number, since it is smaller than the sum of its proper divisors (81470284799981).

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

38804178490000 is an frugal number, since it uses more digits than its factorization.

38804178490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 38804178490000 in words is "thirty-eight trillion, eight hundred four billion, one hundred seventy-eight million, four hundred ninety thousand".