38975489280000 has 4800 divisors, whose sum is σ = 190357794506880. Its totient is φ = 7739670528000.

The previous prime is 38975489279941. The next prime is 38975489280029. The reversal of 38975489280000 is 8298457983.

38975489280000 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 548 + 9 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 38975489280000.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 2292675839992 + ... + 2292675840008.

Almost surely, 2^{38975489280000} is an apocalyptic number.

38975489280000 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 38975489280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95178897253440).

38975489280000 is an abundant number, since it is smaller than the sum of its proper divisors (151382305226880).

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

38975489280000 is an frugal number, since it uses more digits than its factorization.

38975489280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 38975489280000 in words is "thirty-eight trillion, nine hundred seventy-five billion, four hundred eighty-nine million, two hundred eighty thousand".