38814209280 has 1728 divisors, whose sum is σ = 183665664000. Its totient is φ = 7478231040.

The previous prime is 38814209177. The next prime is 38814209297. The reversal of 38814209280 is 8290241883.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 825834217 + ... + 825834263.

It is an arithmetic number, because the mean of its divisors is an integer number (106288000).

Almost surely, 2^38814209280 is an apocalyptic number.

38814209280 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 38814209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91832832000).

38814209280 is an abundant number, since it is smaller than the sum of its proper divisors (144851454720).

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

38814209280 is a wasteful number, since it uses less digits than its factorization.

38814209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 38814209280 in words is "thirty-eight billion, eight hundred fourteen million, two hundred nine thousand, two hundred eighty".