38646816120 has 256 divisors, whose sum is σ = 142462195200. Its totient is φ = 9240376320.

The previous prime is 38646816113. The next prime is 38646816127. The reversal of 38646816120 is 2161864683.

38646816120 is a `hidden beast` number, since 3 + 8 + 6 + 468 + 161 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (38646816113) and next prime (38646816127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38646816127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844959 + ... + 889521.

It is an arithmetic number, because the mean of its divisors is an integer number (556492950).

Almost surely, 2^38646816120 is an apocalyptic number.

38646816120 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 38646816120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71231097600).

38646816120 is an abundant number, since it is smaller than the sum of its proper divisors (103815379080).

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

38646816120 is a wasteful number, since it uses less digits than its factorization.

38646816120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44667 (or 44657 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38646816120 in words is "thirty-eight billion, six hundred forty-six million, eight hundred sixteen thousand, one hundred twenty".