38775905280 has 1320 divisors, whose sum is σ = 172128594528. Its totient is φ = 8169652224.

The previous prime is 38775905237. The next prime is 38775905323. The reversal of 38775905280 is 8250957783.

It is an interprime number because it is at equal distance from previous prime (38775905237) and next prime (38775905323).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 1047997422 + ... + 1047997458.

Almost surely, 2^38775905280 is an apocalyptic number.

38775905280 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 38775905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86064297264).

38775905280 is an abundant number, since it is smaller than the sum of its proper divisors (133352689248).

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

38775905280 is a wasteful number, since it uses less digits than its factorization.

38775905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 38775905280 in words is "thirty-eight billion, seven hundred seventy-five million, nine hundred five thousand, two hundred eighty".