38624256000 has 896 divisors, whose sum is σ = 157025157120. Its totient is φ = 9289728000.

The previous prime is 38624255959. The next prime is 38624256023. The reversal of 38624256000 is 65242683.

38624256000 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 42 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304127937 + ... + 304128063.

Almost surely, 2^38624256000 is an apocalyptic number.

38624256000 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 38624256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78512578560).

38624256000 is an abundant number, since it is smaller than the sum of its proper divisors (118400901120).

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

38624256000 is a wasteful number, since it uses less digits than its factorization.

38624256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 38624256000 its reverse (65242683), we get a palindrome (38689498683).

The spelling of 38624256000 in words is "thirty-eight billion, six hundred twenty-four million, two hundred fifty-six thousand".