38477441280 has 288 divisors, whose sum is σ = 127947859200. Its totient is φ = 9842753536.

The previous prime is 38477441263. The next prime is 38477441293. The reversal of 38477441280 is 8214477483.

It is a super-3 number, since 3×38477441280³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18596086 + ... + 18598154.

It is an arithmetic number, because the mean of its divisors is an integer number (444263400).

Almost surely, 2^38477441280 is an apocalyptic number.

38477441280 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 38477441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63973929600).

38477441280 is an abundant number, since it is smaller than the sum of its proper divisors (89470417920).

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

38477441280 is a wasteful number, since it uses less digits than its factorization.

38477441280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 38477441280 in words is "thirty-eight billion, four hundred seventy-seven million, four hundred forty-one thousand, two hundred eighty".