38300221440 has 816 divisors, whose sum is σ = 152289822048. Its totient is φ = 9172942848.

The previous prime is 38300221429. The next prime is 38300221447. The reversal of 38300221440 is 4412200383.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38300221447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1035141102 + ... + 1035141138.

Almost surely, 2^38300221440 is an apocalyptic number.

38300221440 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 38300221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76144911024).

38300221440 is an abundant number, since it is smaller than the sum of its proper divisors (113989600608).

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

38300221440 is an frugal number, since it uses more digits than its factorization.

38300221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 38300221440 in words is "thirty-eight billion, three hundred million, two hundred twenty-one thousand, four hundred forty".