38975489280 has 1440 divisors, whose sum is σ = 182489497344. Its totient is φ = 7739670528.

The previous prime is 38975489251. The next prime is 38975489309. The reversal of 38975489280 is 8298457983.

38975489280 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 548 + 9 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (38975489251) and next prime (38975489309).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2292675832 + ... + 2292675848.

Almost surely, 2^38975489280 is an apocalyptic number.

38975489280 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 38975489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91244748672).

38975489280 is an abundant number, since it is smaller than the sum of its proper divisors (143514008064).

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

38975489280 is an frugal number, since it uses more digits than its factorization.

38975489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

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

The spelling of 38975489280 in words is "thirty-eight billion, nine hundred seventy-five million, four hundred eighty-nine thousand, two hundred eighty".