38421880224 has 192 divisors, whose sum is σ = 124488161280. Its totient is φ = 10104192000.

The previous prime is 38421880223. The next prime is 38421880241. The reversal of 38421880224 is 42208812483.

38421880224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 196015²-1.

It is a super-3 number, since 3×38421880224³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38421880223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130099 + ... + 3142349.

It is an arithmetic number, because the mean of its divisors is an integer number (648375840).

Almost surely, 2^38421880224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38421880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244080640).

38421880224 is an abundant number, since it is smaller than the sum of its proper divisors (86066281056).

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

38421880224 is a wasteful number, since it uses less digits than its factorization.

38421880224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12643 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 38421880224 in words is "thirty-eight billion, four hundred twenty-one million, eight hundred eighty thousand, two hundred twenty-four".