38851384320 has 616 divisors, whose sum is σ = 159801986304. Its totient is φ = 8874344448.

The previous prime is 38851384309. The next prime is 38851384321. The reversal of 38851384320 is 2348315883.

38851384320 is a `hidden beast` number, since 3 + 8 + 85 + 138 + 432 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38851384321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26126617 + ... + 26128103.

Almost surely, 2^38851384320 is an apocalyptic number.

38851384320 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 38851384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79900993152).

38851384320 is an abundant number, since it is smaller than the sum of its proper divisors (120950601984).

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

38851384320 is an equidigital number, since it uses as much as digits as its factorization.

38851384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38851384320 in words is "thirty-eight billion, eight hundred fifty-one million, three hundred eighty-four thousand, three hundred twenty".